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Ramanujan Centre for Higher Mathematics
Genesis

The Ramanujan Centre for Higher Mathematics (RCHM) came into existence in 2006, with its inauguration officiated by former Prime Minister of India, Dr. Manmohan Singh, in 2011. Notably, the establishment of this research centre was championed and facilitated by the esteemed former Chairman of ISRO, Dr. Kasthuri Rangan. One captivating feature of the Ramanujan Centre is its incorporation of mathematical symbols into the architecture, designed to immerse researchers in a truly mathematical environment, stimulating their creativity and fostering a sense of connection to their field. The Centre aims to conduct and foster outstanding research and learning methods in both pure and applied mathematical sciences. Moreover, the members of the research centre collaborate with international experts in their area of research to ensure strong Indo-foreign participation and also collaborate with researchers from top ranked Indian institutions to enhance the knowledge sharing in the Centre's programmes.

The Research Centre provides opportunities for visiting research fellows, postdoctoral fellows, and doctoral students to work within the research foci of the faculty members of the research Centre like Abstract and Fractional Differential Equations, Stability Analysis of Dynamical Systems, Neural Networks, Synchronization Theory, Genetic Algorithms and Regulatory Networks, Multi-agent Systems, Vehicular Suspension System, Machine Learning Algorithms, Complex Dynamical Networks, Multi-layered Networks, Under Water Vehicle Dynamics, Graph Theory, Discrete Mathematics, Algorithmic and Algebric Graph Theory. Based on the above areas of interest, we developed and strengthen some strong mathematical methods based on general and powerful modeling and corresponding in-depth structural knowledge. Especially, we have constructed a strong mathematical model to eradicate the mosquito borne diseases like Chikungunya, Dengue, Calara, Typhoid etc.,

Its main goals are to train highly skilled young mathematicians across the entire breadth of mathematics, to develop innovative application-oriented mathematics with a focus on data-driven modelling, simulation, and optimization, and to open up new mathematical thinking spaces. This contributes and motivates to the next generation of the faculty members and research students in many spheres and the advancement of multicultural environment.

The Centre is doing research collaborations with various Universities/Institutions/ Research Centre’s like Nanjing University, Jiangsu University of Technology, South East University, Hunan Normal University, Nanjing Xiaozhuang University, Zhongnan University of Economics and Law, China, Sungkyunkwan University, South Korea, University of Bielefeld, Germany, Institute for Intelligent Systems Research and Innovation, Australia, University of Derby, UK, Maejo University, Thailand, Taibah University, Saudi Arabia, Prince Sultan University, Saudi Arabia, Cankaya University, Turkey, Mississippi University, USA, Texas A & M University, Kingsville, USA.

Research Centre Credentials

Our faculty members have received 28.50 lakhs from the completed major and minor research projects from UGC, DST(SERB) agencies. Also, they supported & mainly contributed towards the common research grants for School of Mathematics received from University Grants Commission, Department of Science & Technology like UGC(SAP) DRS I, DST (FIST), RUSA 2.0. They also have received prestigious awards and recognition from various Universities, organizations and registered bodies. Having knowledge in the thrust areas of interest of the faculty, they published more than 120 research papers in Science Citation Indexed (SCI) Journals with a cumulative impact factor of 355 with a H-index of 29. Moreover, they conducted State Level Quiz Programmes for PG students to nurture the mathematical knowledge to the student’s community and organized many National & International seminars, conferences, workshops to explore and disseminate their research ability among the mathematics community worldwide. They also serving as a reviewer for more than 25 SCI journals and edited some special issues in Mathematics Computers in Simulation (Elsevier Publication), Institute of Physics Publishing (IOP Publication), AIMS Mathematics (AIMS Press), Mathematics (MDPI Publication), Contemporary Mathematics (universal Wiser Publication).

Future Plans

  1. Planning to establish M.Sc. Applied Mathematics Programme.
  2. Invite adjunct faculties from various research centre to involve them to handle the M.Sc. Applied Mathematics programme.
  3. Invite visiting fellows from IISc Banglore, IITs, IMSc, IISER to handle the part of the syllabi for the above-mentioned programme.
  4. To sign MoUs between universities like:
  1. Lebanese American University, USA
  2. Texas A & M University, Kingsville
  3. University of Derby, UK
  4. Maejo University, Thailand
  5. Deakin University, Australia
  6. Nanjing University, China

For research collaborations, Joint projects and student staff exchange programmes.

  1. To apply for ERASMUS programme with University of Alba lulia, Romania.
  2. To organize a 3nd International Conference on Mathematical Modeling and Computational Methods in Science and Engineering (ICMMCMSE-2025) tentatively on February 2025.

To establish a strong partnership with industry through the implementation of advanced training programs tailored to specific industrial requirements, in collaboration with Dr. Bruce Van Brunt from Massey University, New Zealand. This initiative aims to contribute to capacity building and foster collaboration on innovative projects

Faculty
director

Dr. R. Raja

Assistant Professor

Profile

director

Dr. S. Amutha

Assistant Professor

Profile

Facilities

Our computer laboratories are furnished with high-performance computing capabilities featuring contemporary, ergonomic designs and connected to a high-bandwidth network infrastructure, including Wi-Fi. This network infrastructure facilitates multiple high-speed connections to accommodate intensive research endeavors by our faculty and students. Additionally, our facilities support all popular connection protocols within the research community. Moreover, we offer a range of commercial scientific software resources, including MATLAB, Latex, C++, and Scilab. Many of these software packages are compatible with all desktop architectures currently supported within our research centre. Furthermore, a diverse selection of open-source software utilities and packages is readily accessible. Comprehensive support for all major programming environments is also provided across all platforms.

Network enabled computer laboratories
Network enabled computer laboratories

Furthermore, faculty members within our department possess authentication credentials enabling subscription access to articles from reputable publishers such as Elsevier, Springer, and IEEE journals. Consequently, our repository boasts over 1000 articles sourced from various journals, thereby enriching the academic resources available for reference

Research
Thrust Areas of Research
  1. Stability Analysis of Neural Networks
  2. Genetic Algorithms and Oscillatory Networks
  3. Synchronization Analysis
  4. Multi-agent Systems
  5. Mathematical Modeling on population systems & Epidemiology
  6. Dynamics of Vehicle Suspension System
  7. Machine learning and optimal control
  8. Complex Dynamical Networks
  9. Underwater vehicle dynamics
  10. Graph theoretic Approach to Neural Networks
  11. Graph Theory and Domination in Graphs
  12. Discrete Mathematics
  13. Modelling in Graphs
  14. Algorithmic Graph Theory
  15. Algebraic Graph Theory
  16. Cryptography
Details of Research Projects
S. No. Principal Investigator Project Title Project Period Funding Agency Total Grant Rs. In Lakhs
Completed Projects
1 Dr. R. Raja Studies on Stability issues of Neural Networks 2013 -2015 UGC, New Delhi. 05.40
2 Dr. S. Amutha A Study on Various Half-Domination Parameters of a Graph. 2014 -2016 UGC, New Delhi. 06.00
3 Dr. R. Raja
&
Dr. S. Amutha		 Inter-departmental Research: Global Stability Analysis of Neural Networks with Time-Varying Delays: The Continuous and Discrete-time Case 2017-2019 AURF
Karaikudi		 03.00
4 Dr. R. Raja Empowerment and Equity Opportunities for Excellence in Science (EMEQ) 2019-2022 DST-SERB, New Delhi 14.00
Details of Awards Received
Sl. No. Name of the Faculty Name of the Award Description Year of the Award
1 Dr. R. Raja Promising Researcher Award Alagappa University,Karaikudi 2022
Bronze Award for Paper Presentation Maejo University,Thailand 2022
Vallal Alagappar Research Recognition Award Alagappa University, Karaikudi 2021
325 Years of Fractional Calculus Award Birunei University, Istanbul, Turkey 2021
Travel Grant Award DAE-NBHM 2015
Travel Grant Award DAE-NBHM 2014
Sir. C. V. Raman Budding Innovator Award Periyar University 2010
2 Dr. S. Amutha Eminent Women's Excellence in Research/Academic Award Bestow Edutrex International, India 2023
Dr. APJ Abdul Kalam Distinguished Research Excellence Award 2022 Centre for Professional Advancement, Vijayawada, India 2022
Eminent Mathematician Award International Multidisciplinary Research Foundation for Education & Research, Malaysia chapter, Malaysia 2019
Theme Based Research Project of RUSA 2.0 towards the Quality Enhancement in Teaching and Research. Alagappa University, Karaikudi 2019
I2OR Bright Educator Award International Institute of Organized Research 2017
Details of Overseas Visits
Sl. No. Name of the Faculty Countries Visited Year of Visit Purpose of Visit
1 Dr. R. Raja Italy 2019 Presented a research paper in the 3rd International Conference and Summer School on Numerical Computations: Theory and Algorithms
2 Dr. R. Raja Thailand 2018 Visiting Faculty, Maejo University, Chiangmai
3 Dr. R. Raja Thailand 2018 Keynote Speaker in 3 days workshops on Stability Analysis of Neural Networks, Department of Mathematics, Khon Kaen University, Bangkok
4 Dr. R. Raja Thailand 2018 Invited Speaker in International Conference in Mathematics and Applications, Department of Mathematics, Mahidol University, Bangkok
5 Dr. S. Amutha Vietnam 2022 Presented a research paper in the International Conference on Engineering, Architecture, Physics & Mathematical Sciences, Ho Chi Minh, Vietnam.
6 Dr. S. Amutha Malaysia 2019 Presented a research paper in the International Conference on Mathematical Engineering Applications for Sustainable Development, University of Malaya, Kuala Lumpur, Malaysia.
7 Dr. S. Amutha Malaysia 2019 Invited speaker in ISM Seminar at Institute of Mathematical Sciences, University of Malaya, Malaysia.
8 Dr. S. Amutha Thailand 2017 International Science Congress, Asian Institute of Technology with IMRF, Bangkok, Thailand.
Details of Programmes Organized
Sl. No Name of the Organizer Date of the Event Name of the Conference/Seminar/Workshop/Lecture etc. Number of the Sponsoring Institution No. Of Participants
Key Speakers Papers
Presented
1 Dr.S. Amutha 29/05/2020 & 30/05/2020 International Webinar on Recent Advances in Graph Theory. 4 -- RUSA 2.0, Alagappa University 390
2 Dr. R. Raja 22/01/2020
to
24/01/2020 		2 nd International Conference on Mathematical Modeling and Computational Methods in Science and Engineering (ICMMCMSE-2020) 12 315 UGC-SAP 575
3 Dr. R. Raja 22/12/2020 National Mathematics Day 01 -- Alagappa University 300
4 Dr.S. Amutha 26/02/2019 Workshop on Maple for Business Applications-Hands on Training 01 -- UBCC, Alagappa University 260
5 Dr.S. Amutha 22/02/2019 Workshop on Mathematical Software for Business Applications-Hands on Training 01 -- UBCC, Alagappa University 260
6 Dr.S. Amutha 20/12/2018
to
21/12/2018 		International Conference on Discrete and Computational Mathematics (ICDCM-2018) 06 70 UGC-SAP (DRS-1) and TANSA 270
7 Dr.S. Amutha 09/03/2018 State Level Quiz Contest 2018 for PG Mathematics Students 01 -- Alagappa University 150
Details of Publications
  1. Stepehen Arockiasamy, Raja Ramachandran, Pratap Anbalagan, Yang Cao, Synchronization of nonlinear multiagent systems and its application to circuit systems, Frontiers of Information technology & Electronic Engineering, Vol.24, Iss.4, (May 2023), Pp 553-566, (SCIE, Springer Publication, IF:3.0).
  2. Stephen, R Raja, Xiaoshan Bai, J Alzabut, R Swaminathan, G Rajchakit, Asymptotic pinning synchronization of nonlinear multi-agent systems: Its application to tunnel diode circuit, Nonlinear Analysis: Hybrid Systems, Vol. 49, Paper ID no.101366,(Aug. 2023), Pp.1-17, (SCI, Elsevier Publication, IF: 4.2).
  3. S Aadhithiyan, R Raja, Jehad Alzabut, G Rajchakit, Ravi P Agarwal, Passivity Analysis and Complete Synchronization of Fractional Order for Both Delayed and Non-Delayed Complex Dynamical Networks with Couplings in the Derivative, Axioms, Vol. 12, Iss.8, Paper ID no.730, (July. 2023),Pp.1-21, (SCIE, MDPI Publication, IF:2.0).
  4. S Aadhithiyan, R Raja, J Dianavinnarasi, J Alzabut, D Baleanu, Robust synchronization of multi-weighted fractional order complex dynamical networks under nonlinear coupling via non-fragile control with leakage and constant delays, Chaos, Solitons & Fractals,Vol. 174,(Sep. 2023), Paper ID no. 113788, Pp.1-12, (SCI, Elsevier Publication, IF:7.8).
  5. A Stephen, R Karthikeyan, C Sowmiya, R Raja, Ravi P Agarwal, Sampled-data controller scheme for multi-agent systems and its application to circuit network, Neural Networks, Vol.170, (Feb. 2023), Pp.506-520, (SCI, Elsevier Publication, IF:7.8).
  6. Dianavinnarasi Joseph, Raja Ramachandran, Anitha Karthikeyan, Karthikeyan Rajagopal, Synchronization Studies of Hindmarsh–Rose Neuron Networks: Unraveling the Influence of connection induced memristive synapse, Biosystems, Vol.234, Paper ID no. 105069, (Dec. 2023), Pp.1-9, (SCI, Elsevier Publication, IF:1.6).
  7. Sayooj Aby Jose, R. Raja, B. I. Omede Ravi P. Agarwal, J. Alzabut, J. Cao, V. E. Balas, Mathematical modeling on co-infection: transmission dynamics of Zika virus and Dengue fever, Nonlinear Dynamics, Vol.111, Iss.no.5, (30 Mar 2023), Pp. 4879-4914. (SCI, Springer Publication, IF: 5.6).
  8. Sayooj Aby Jose, R Raja, J Dianavinnarasi, D Baleanu, A Jirawattanapanit, Mathematical modeling of chickenpox in Phuket: Efficacy of precautionary measures and bifurcation analysis, Biomedical Signal Processing and Control, Vol.84. Paper ID. no.104714, (July. 2023), Pp.1-13,(SCI, Elsevier Publication(IF: 5.0)).
  9. Dianavinnarasi Joseph, Raja Ramachandran, Jehad Alzabut, Sayooj Aby Jose, Hasib Khan,A Fractional-Order Density-Dependent Mathematical Model to Find the Better Strain of Wolbachia, Symmetry, vol. 15, Iss. 4,(Apr 2023),(SCI, MDPI Publication) IF:2.7.
  10. S.A. Jose, R. Raja, Q. Zhu, J. Alzabut, M. Niezabitowski, V.E. Balas, (2022), “An Integrated Eco-Epidemiological Plant Pest Natural Enemy Differential Equation Model with Various Impulsive Strategies”, Mathematical Problems in Engineering, Vol.2022, Article ID 4780680, Pp.1-23. (IF: 1.430).
  11. Sayooj Aby Jose, Raja Ramachandran, Dumitru Baleanu, Hasan S. Panigoro, Jehad Alzabut, Valentina E. Balas, Computational dynamics of a fractional order substance addictions transfer model with Atangana-Baleanu-Caputo derivative, Mathematical Methods in the Applied Sciences, Vol. 46, Iss.no.5, (Mar 2023), Pp. 5060-5085, (SCI, Wiley Publication, IF: 3.007).
  12. Sayooj Aby Jose, R. Raja, J. Cao, J. Alzabut, M. Niezabitowski, Valentina E. Balas, Stability Analysis and Comparative Study on different Eco-epidemiological Models: Stage Structure for Prey and Predator Concerning Impulsive Control, Optimal Control, Applications and Methods, (43)(3), 842-866, 2022. (IF: 1.955)
  13. A. Pratap, R. Raja, J. Cao, C. Huang, J. Alzabut, O. Bagdasar, (2022), “O(t^{-β}) O (t − β) Synchronization and Asymptotic Synchronization of Delayed Fractional Order Neural Networks”, Acta Mathematica Scientia, Vol. 42, Iss.4, Pp.1273-1292, (IF: 1.085)
  14. S. Aadhithiyan, R. Raja, Q. Zhu, J. Alzabut, M. Niezabitowski, C.P. Lim, (2022), “A Robust Non-Fragile Control Lag Synchronization for Fractional Order Multi-Weighted Complex Dynamic Networks with Coupling Delays”, Neural Processing Letters, Pp.1-22. (IF: 2.565)
  15. S.A. Jose, R. Raja, J. Alzabut, G. Rajchakit, J. Cao, V.E. Balas, (2022), “Mathematical modeling on transmission and optimal control strategies of corruption dynamics”, Nonlinear Dynamics, Vol.109, Iss.4, Pp.3169-3187. (IF: 5.741)
  16. S.A. Jose, R. Raja, Q. Zhu, J. Alzabut, M. Niezabitowski, V.E. Balas, (2022), “Impact of strong determination and awareness on substance addictions: A mathematical modeling approach”, Mathematical Methods in the Applied Sciences, Vol.45, Iss.8, Pp.4140-4160. (IF: 3.007)
  17. A. Stephen, R. Raja, J. Alzabut, Q. Zhu, M. Niezabitowski, O. Bagdasar, (2022), “Mixed time delayed nonlinear multi-agent dynamic systems for asymptotic stability and non-fragile synchronization criteria”, Neural Processing Letters, Vol.54, Iss.1, Pp.43-74. (IF: 2.565)
  18. S. Aadhithiyan, R. Raja, J. Alzabut, Q. Zhu, M. Niezabitowski, (2022), “Robust non‐fragile Mittag‐Leffler synchronization of fractional order non‐linear complex dynamical networks with constant and infinite distributed delays”, Mathematical Methods in the Applied Sciences, Vol.45, Iss.4, Pp.2166-2189. (IF: 3.007)
  19. J. Dianavinnarasi, R. Raja, J. Alzabut, J. Cao, M. Niezabitowski, O. Bagdasar, (2022), “Application of Caputo–Fabrizio operator to suppress the Aedes Aegypti mosquitoes via Wolbachia: An LMI approach”, Mathematics and Computers in Simulation, Vol. 201, Pp.462-485. (IF: 3.601)
  20. A. Pratap, R. Raja, R.P. Agarwal, J. Alzabut, M. Niezabitowski, E. Hincal, (2022), “Further results on asymptotic and finite-time stability analysis of fractional-order time-delayed genetic regulatory networks”, Neurocomputing, Vol.475, Pp.26-37, (IF: 5.779)
  21. M. Iswarya, R. Raja, J. Cao, M. Niezabitowski, J. Alzabut, C. Maharajan, (2022), “New results on exponential input-to-state stability analysis of memristor based complex-valued inertial neural networks with proportional and distributed delays”, Mathematics and Computers in Simulation, Vol.201, Pp.440-461, (IF: 3.601)
  22. R. Thomas, SA. Jose, R. Raja, J. Cao, V.E. Balas, (2022), “Modeling and analysis of SEIRS epidemic models using homotopy perturbation method: A special outlook to 2019-nCoV in India”, International Journal of Biomathematics, Vol.15, Iss.8, ID:2250059. (IF: 2.129)
  23. S.O. Neill, O. Bagdasar, S. Berry, N. Popovici, R. Raja, (2022), “Modelling equilibrium for a multi-criteria selfish routing network equilibrium flow problem”, Mathematics and Computers in Simulation, Vol.201, Pp. 658–669. (IF: 3.601)
  24. M. Iswarya, R. Raja, J. Cao, J. Alzabut, C. Maharajan, (2022), “New results on exponential input-to-state stability analysis of memristor based complex-valued inertial neural networks with proportional and distributed delays”, Mathematics and Computers in Simulation, Vol.201, Pp. 440–461. (IF: 3.601)
  25. J. Dianavinnarasi, R. Raja, J. Alzabut, M. Niezabitowski, O. Bagdasar, (2022), “Application of Caputo–Fabrizio operator to suppress the Aedes Aegypti mosquitoes via Wolbachia: An LMI approach”, Mathematics and Computers in Simulation, Vol.201, Pp. 462–485. (IF: 3.601)
  26. J. Dianavinnarasi, R. Raja, J. Alzabut, M. Niezabitowski, G. Selvam, (2021), “An LMI Approach-Based Mathematical Model to Control Aedes aegypti Mosquitoes Population via Biological Control”, Mathematical Problems in Engineering, Vol. 2021, Article ID 5565949, Pp.1-18. (IF: 1.430)
  27. J. Dianavinnarasi, R. Raja, J. Alzabut, M. Niezabitowski, O. Bagdasar, (2021), “Controlling Wolbachia transmission and invasion dynamics among aedes aegypti population via impulsive control strategy”, Symmetry, Vol.13, Iss.3, ID: 434. (IF: 2.940)
  28. M. Iswarya, R. Raja, Q. Zhu, M. Niezabitowski, J. Alzabut, C. Maharajan, (2021), “Existence, uniqueness, and exponential stability of uncertain delayed neural networks with inertial term: nonreduced order case”, Mathematical Problems in Engineering, 2021, Article ID 5560763, Pp.1-15. (IF: 1.430)
  29. S. Senthilraj, T. Saravanakumar, R. Raja, J. Alzabut, (2021), “Delay-dependent passivity analysis of nondeterministic genetic regulatory networks with leakage and distributed delays against impulsive perturbations”, Advances in Difference Equations, Vol.2021, Iss.1, Pp.1-26. (IF: 3.702)
  30. A. Stephen, R. Raja, J. Alzabut, Q. Zhu, M. Niezabitowski, C.P. Lim, (2021), “A Lyapunov– Krasovskii functional approach to stability and linear feedback synchronization control for nonlinear multi-agent systems with mixed time delays”, Mathematical Problems in Engineering, Vol.2021 (IF: 1.430)
  31. S. Aadhithiyan, R. Raja, Q. Zhu, J. Alzabut, M. Niezabitowski, C.P. Lim, (2021), “Modified projective synchronization of distributive fractional order complex dynamic networks with model uncertainty via adaptive control”, Chaos, Solitons & Fractals, Vol.147, ID: 110853. (IF: 9.922)
  32. S. Aadhithiyan, R. Raja, Q. Zhu, J. Alzabut, M. Niezabitowski, C.P. Lim, (2021), “Exponential synchronization of nonlinear multi-weighted complex dynamic networks with hybrid time varying delays”, Neural Processing Letters, Vol. 53, Iss.2, Pp.1035-1063. (IF: 2.565)
  33. A. Pratap, R. Raja, J. Cao, C. Huang, M. Niezabitowski, O. Bagdasar, (2021), “Stability of discrete‐time fractional‐order time‐delayed neural networks in complex field”, Mathematical Methods in the Applied Sciences, Vol. 44, Iss.1, Pp.419-440. (IF: 3.007)
  34. C. Sowmiya, R. Raja, J. Cao, G. Rajchakit, A. Alsaedi, (2020), “A delay‐dependent asymptotic stability criteria for uncertain BAM neural networks with leakage and discrete time-varying delays: A novel summation inequality”, Asian Journal of Control, Vol.22, Iss.5, Pp.1880-1891. (IF: 2.444)
  35. J. Dianavinnarasi, Y. Cao, R. Raja, G. Rajchakit, C.P. Lim, (2020), “Delay-dependent stability criteria of delayed positive systems with uncertain control inputs: Application in mosquito-borne morbidities control”, Applied Mathematics and Computation, Vol.382, ID: 125210. (IF: 4.397)
  36. T. Saravanakumar, V.J. Nirmala, R. Raja, J. Cao, G. Lu, (2020), “Finite‐time reliable dissipative control of neutral‐type switched artificial neural networks with non‐linear fault inputs and randomly occurring uncertainties”, Asian Journal of Control, Vol.22, Iss.6, Pp.2487-2499. (IF: 2.444)
  37. A. Pratap, R. Raja, R. Agarwal, J. Cao, O. Bagdasar, (2020), “Multi-weighted complex structure on fractional order coupled neural networks with linear coupling delay: a robust synchronization problem”, Neural Processing Letters, Vol. 51, Iss.3, Pp.2453-2479. (IF: 2.565)
  38. A. Pratap, R. Raja, J. Cao, J. Alzabut, C. Huang, (2020), “Finite-time synchronization criterion of graph theory perspective fractional-order coupled discontinuous neural networks”, Advances in Difference Equations, Vol. 2020, Iss.1, Pp.1-24. (IF: 3.702)
  39. A. Pratap, R. Raja, C. Sowmiya, O. Bagdasar, J. Cao, G. Rajchakit, (2020), “Global projective lag synchronization of fractional order memristor based BAM neural networks with mixed time varying delays”, Asian Journal of Control, Vol.22, Iss.1, Pp.570-583. (IF: 2.444)
  40. A. Pratap, R. Raja, J. Cao, F.A. Rihan, A.R. Seadawy, (2020), “Quasi-pinning synchronization and stabilization of fractional order BAM neural networks with delays and discontinuous neuron activations”, Chaos, Solitons & Fractals, Vol.131, ID:109491. (IF: 9.922)
  41. G. Rajchakit, P. Chanthorn, M. Niezabitowski, R. Raja, D. Baleanu, A. Pratap, (2020), “Impulsive effects on stability and passivity analysis of memristor-based fractional-order competitive neural networks”, Neurocomputing, Vol.417, Pp.290-301. (IF: 5.779)
  42. A. Pratap, R. Raja, J. Alzabut, J. Dianavinnarasi, J. Cao, G. Rajchakit, (2020), “Finite-time Mittag Leffler stability of fractional-order quaternion-valued Memristive neural networks with impulses”, Neural Processing Letters, Vol. 51, Iss.2, Pp.1485-1526. (IF: 2.565)
  43. A. Pratap, R. Raja, J. Alzabut, J. Cao, G. Rajchakit, C. Huang, (2020), “Mittag‐Leffler stability and adaptive impulsive synchronization of fractional order neural networks in quaternion field”, Mathematical Methods in the Applied Sciences, Vol.43 Iss.10, Pp.62236253. (IF: 3.007)
  44. O. Bagdasar, S. Berry, S.O.Neill, N. Popovici, R. Raja, (2019), “Traffic assignment: Methods and simulations for an alternative formulation of the fixed demand problem”, Mathematics and Computers in Simulation, Vol.155, Pp.360-373, (IF: 3.601)
  45. S. Senthilraj, R. Raja, J. Cao, H.M. Fardoun, (2019), “Dissipativity analysis of stochastic fuzzy neural networks with randomly occurring uncertainties using delay dividing approach”, Nonlinear Analysis: Modelling and Control, Vol.24, Iss.4, Pp.561–581. (IF: 2.217)
  46. S.Pandiselvi, R. Raja, J. Cao, X. Li, G. Rajchakit, (2019), “Impulsive discrete-time GRNs with probabilistic time delays, distributed and leakage delays: an asymptotic stability issue”, IMA Journal of Mathematical Control and Information, Vol.36, Iss.1, Pp.79-100. (IF: 1.540)
  47. Q.Zhu, S.V. Kumar, R. Raja, F. Rihan, (2019), “Extended dissipative analysis for aircraft flight control systems with random nonlinear actuator fault via non-fragile sampled-data control”, Journal of the Franklin Institute, Vol.356, Iss.15, Pp.8610-8624, (IF: 4.246)
  48. K. Balasundaram, R. Raja, A. Pratap, S. Chandrasekaran, (2019), “Impulsive effects on competitive neural networks with mixed delays: existence and exponential stability analysis”, Mathematics and Computers in Simulation, Vol.155, Pp.290-302. (IF: 3.601)
  49. S.V. Kumar, S.M. Anthoni, R. Raja, (2019), “Dissipative analysis for aircraft flight control systems with randomly occurring uncertainties via non-fragile sampled-data control”, Mathematics and Computers in Simulation, Vol.155, Pp.217-226. (IF: 3.601)
  50. S. Chandran, R. Ramachandran, J. Cao, R.P. Agarwal, G. Rajchakit, (2019), “Passivity analysis for uncertain BAM neural networks with leakage, discrete and distributed delays using novel summation inequality”, International Journal of Control, Automation and Systems, Vol.17 Iss.8, Pp.2114-2124. (IF: 2.964)
  51. C. Maharajan, R. Raja, J. Cao, G. Rajchakit, (2019), “Fractional delay segments method on time-delayed recurrent neural networks with impulsive and stochastic effects: an exponential stability approach”, Neurocomputing, Vol. 323, Pp.277-298, (IF: 5.779)
  52. A. Pratap, R. Raja, R.P. Agarwal, J. Cao, (2019), “Stability analysis and robust synchronization of fractional‐order competitive neural networks with different time scales and impulsive perturbations”, International Journal of Adaptive Control and Signal Processing, Vol.33, Iss.1, Pp.1635-1660. (IF: 3.369)
  53. M. Iswarya, R. Raja, G. Rajchakit, J. Cao, J. Alzabut, C. Huang, (2019), “A perspective on graph theory-based stability analysis of impulsive stochastic recurrent neural networks with time-varying delays”, Advances in Difference Equations, Vol.2019 Iss.1, Pp.1-21. (IF: 3.702)
  54. S. Pandiselvi, R. Raja, J. Cao, G. Rajchakit, (2019), “Stabilization of switched stochastic genetic regulatory networks with leakage and impulsive effects”, Neural Processing Letters, Vol.49, Iss.2, Pp.593-610. (IF: 2.565)
  55. A. Pratap, R. Raja, G. Rajchakit, J. Cao, O. Bagdasar, (2019), “Mittag‐Leffler state estimator design and synchronization analysis for fractional‐order BAM neural networks with time delays”, International Journal of Adaptive Control and Signal Processing, Vol.33, Iss.5, Pp.855-874. (IF: 3.369)
  56. A. Pratap, R. Raja, J. Cao, C.P. Lim, O. Bagdasar, (2019), “Stability and pinning synchronization analysis of fractional order delayed Cohen–Grossberg neural networks with discontinuous activations”, Applied Mathematics and Computation, Vol.359, Pp.241-260. (IF: 4.397)
  57. C. Sowmiya, R. Raja, Q. Zhu, G. Rajchakit, (2019), “Further mean-square asymptotic stability of impulsive discrete-time stochastic BAM neural networks with Markovian jumping and multiple time-varying delays”, Journal of the Franklin Institute, Vol.356, Iss.1, Pp.561-591. (IF: 4.246)
  58. M. Iswarya, R. Raja, G. Rajchakit, J. Cao, J. Alzabut, C. Huang, (2019), “Existence, Uniqueness and Exponential Stability of Periodic Solution for Discrete-Time Delayed BAM Neural Networks Based on Coincidence Degree Theory and Graph Theoretic Method”, Mathematics, Vol.7, Iss.11, ID: 1055. (IF: 2.592)
  59. G. Rajchakit, A. Pratap, R. Raja, J. Cao, J. Alzabut, C. Huang, (2019), “Hybrid control scheme for projective lag synchronization of Riemann–Liouville sense fractional order memristive BAM Neural Networks with mixed delays”, Mathematics, Vol.7, Iss.8, ID: 759. (IF: 2.592)
  60. A. Pratap, R. Raja, J. Cao, G. Rajchakit, H.M. Fardoun, (2019), “Stability and synchronization criteria for fractional order competitive neural networks with time delays: An asymptotic expansion of Mittag Leffler function”, Journal of the Franklin Institute, Vol.356, Iss.4, Pp.2212-2239. (IF: 4.246)
  61. C. Maharajan, R. Raja, J. Cao, G. Rajchakit, A. Alsaedi, (2018), “Novel results on passivity and exponential passivity for multiple discrete delayed neutral-type neural networks with leakage and distributed time-delays”, Chaos, Solitons & Fractals, Vol.115, Pp.268282. (IF: 9.922)
  62. C. Maharajan, R. Raja, J. Cao, G. Rajchakit, Z. Tu, A. Alsaedi, (2018), “LMI-based results on exponential stability of BAM-type neural networks with leakage and both time-varying delays: A non-fragile state estimation approach”, Applied Mathematics and Computation, Vol.326, Pp.33-55. (IF: 4.397)
  63. A. Pratap, R. Raja, C. Sowmiya, O. Bagdasar, J. Cao, G. Rajchakit, (2018), “Robust generalized Mittag-Leffler synchronization of fractional order neural networks with discontinuous activation and impulses”, Neural Networks, Vol.103, Pp.128-141. (IF:9.657)
  64. A. Pratap, R. Raja, J. Cao, G. Rajchakit, F.E. Alsaadi, (2018), “Further synchronization in finite time analysis for time-varying delayed fractional order memristive competitive neural networks with leakage delay”, Neurocomputing, Vol.317, Pp.110-126. (IF: 5.779)
  65. P. Shanthi, S. Amutha, N. Anbazhagan, G. Uma, Gyanendra Prasad Joshi and Woong Cho, Characterization of Fractional Mixed Domination Number of Paths and Cycles, Journal of Mathematics, vol. 2024, Article ID 6619654, 11 pages, January 2024, DOI: https://doi.org/10.1155/2024/6619654. (ISSN 2314-4629(P), 2314-4785 (Online), SCIE and Scopus indexed, impact factor-1.4.)
  66. S. Selvakumar, K. Jeganathan, Aster Seifu Senae, N. Anbazhagan, S. Amutha, Gyanendra Prasad Joshi and Woong Cho, Performance of Dual Service Station in Stochastic Inventory System with Optional Feedback Service, Ain Shams Engineering Journal, 15(3), 102583, 32 pages, March 2024, DOI: https://doi.org/10.1016/j.asej.2023.102583. (ISSN 2090-4479, SCIE and Scopus indexed, impact factor-6.0.)
  67. P.Shanthi, S.Amutha, N.Anbazhagan, S. Bragatheeswara Prabu, Effects on fractional domination in graphs, Journal of Intelligent & Fuzzy Systems, 43, pp. 1-10, February 2023, doi: 10.3233/JIFS-222999, (ISSN:1875-8967(E), ISSN: 1064-1246(P), SCIE, Scopus and Web of Science indexed, Imapct factor 1.737.)
  68. S. Amutha, K. Suriya Prabha, N. Anbazhagan, S. Sankara Gomathi and Ismail Naci Cangul, On α-Split Domination in Graphs, Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci., 92(4):593597, (OctoberDecember 2022), https://doi.org/10.1007/s40010-022-00778-9. (ISSN: 0369-8203, SCIE and Scopus, Impact factor 1.291)
  69. S. Celine Prabha, M. Palanivel, S. Amutha, N. Anbazhagan, Woong Cho, Hyoung-Kyu Song, Gyanendra Prasad Joshi, and Hyeonjoon Moon, Solutions of Detour Distance Graph Equations, 7 Sensors, 22(21):8440, 10 pages, November 2022, https://doi.org/10.3390/s22218440. (ISSN: 1424-8220, SCIE, Scopus and Web of Science indexed, Imapct factor 3.847.)
  70. P.Titusa, J.Ajitha Fancyb, Gyanendra Prasad Joshi and S.Amutha, The connected monophonic eccentric domination number of a graph, Journal of Intelligent & Fuzzy Systems, 43(5), pp.6451–6460, 2022, https://doi.org/10.3233/JIFS-220463. (ISSN:1875-8967(E), ISSN: 1064-1246(P), SCIE, Scopus and Web of Science indexed, Imapct factor 1.737.)
  71. K. Suriya Prabha, S. Amutha, N. Anbazhagan, and Ismail Naci Cangul, Bounds on Coindependent Liars Domination in Graphs, Journal of Mathematics, Volume 2021, Article ID 5544559, 6 pages, 2021.(ISSN: 2314-4629 (Print), ISSN: 2314-4785 (Online), https://doi.org/10.1155/2021/5544559, SCIE and Scopus indexed, Imapct factor 0.971.)
  72. G. Muhiuddin, N. Sridharan D. Al-Kadi, S.Amutha and M. E. Elnair, “Reinforcement Number of a Graph with respect to Half-Domination”, Journal of Mathematics -Topological Indices, and Applications of Graph Theory, April 2021, Vol.2021, Article ID 6689816, 7 pages, doi: https://doi.og/10.1155/2021/6689816. (ISSN: 2473-6988, SCIE, Scopus and Web of Science indexed, Imapct factor 1.555).
  73. S. Amutha, K. Suriya Prabha, N. Anbazhagan, and P. Shanthi, Split Domination Number of Divisible Dominating Graphs. Journal of Discrete Mathematical Sciences & Cryptography, 24(4), 997- 1006, 2021.(ISSN: 0972-0529 (Print), ISSN: 2169-0065 (Online), DOI : 10.1080/09720529.2020.1744813, Scopus and WOS indexed)
  74. K. Suriya Prabha, S. Amutha, N. Anbazhagan and S. Sankara Gomathi, Neighborhood outer split domination in graphs. Journal of Discrete Mathematical Sciences & Cryptography, 22(5),787-799, Dec. 2019. (P-ISSN: 0972-0529, E-ISSN: 2169-0065, DOI: 10.1080/09720529.2019.1681695, Web of Science and Scopus indexed)
  75. Sankara Gomathi. S, Amutha. S, Sridhar.G, Jayaprakasan.M, Interpretation of Formal semantics from Hand Gesture to text using Proficient contour tracing technique, International Journal of Recent Technology & Engineering Volume 8, Issue 2S11, September, 2019, pp.2624-2629, ISSN 2277-3878, DOI:10.35940/ijrte.B1318.0982S1119 [scopus].
  76. Sankara Gomathi. S, Amutha. S, Jayaprakasan, Personify Educational Assistance application for special children using deep learning, International journal of Innovative Technology and Exploring Engineering, ISSN 2278-3075, vol 8(10), August, 2019, pp.1609-1614, doi : https://doi.org/10.35940/ijitee. [scopus].
  77. Sankara Gomathi. S, Amutha. S, Latha . A, Jayaprakasan. Design of Power Optimization of Reversible Carry Select Adder using MPFA, International Journal of Emerging Technology & Advanced Engineering, ISSN 2250-2459,Volume 8(10), October 2018, pp.58-63, https://www.ijetae.com/Volume8Issue10.html
  78. K.Suriya Prabha and S.Amutha, Split Domination number of a Congruent Dominating Graphs, International Journal of Pure and Applied Mathematics. ISSN: 1314-3395, vol.119 (12) , 2018, pp.14633-14642.
Details of Collaborators
Sl. No. Name of the Faculty Collaborator Name Department Affiliations
INTERNATIONAL
1. Dr. R. Raja Ravi P. Agarwal Distinguished Professor, Department of Mathematics Texas A & M University-Kingsville, Texas, USA
Dumitru Baleanu Distinguished Professor, Department of Mathematics Cankaya University, Ankara, 06530, Turkey
Valentina E. Balas Professor, Department of Automation and Applied Informatics Aurel Vlacieu University of Arad, Romania
J. Alzabut Professor, Department of Mathematics and General Sciences Prince Sultan University, Riyadh 12435, Saudi Arabia
M. Niezabitowski Associate Professor, Faculty of Automatic Control, Electronics and Computer Science, Department of Automatic Control, and Robotics Silesian University of Technology, Akademicka 16, 44-100 Gliwice, Poland
Yang Cao Associate Professor, School of Cyber Science and Engineering Southeast University, Nanjing, China
Fathalla A. Rihan Professor, Department of Mathematical Sciences, College of Science UAE University, Al Ain 15551, United Arab Emirates
Quanxin Zhu Mathematical Sciences and Institute of Finance and Statistics Nanjing Normal University, China
Huaiqin Wu Applied Mathematics Yanshan University, China
Jinde Cao Mathematics South East University, China
Hyunsoo Kim Mathematics Sungkyunkwan University, Suwon 440–746, South Korea
Wei Hu School of Mathematics and Physics Jiangsu University of Technology, China
Feng Jiang School of Statistics and Mathematics Zhongnan University of Economics and Law, Wuha, Hubei, China
Zhangsong Yao School of Mathematics and Information Technology Nanjing Xiaozhuang University, Nanjing, Jiangsu, China
Chee Peng Lim Institute of Intelligent System Research and Innovation Deakin University, Australia
Ovidiu Bagdasar Computing and Mathematics University of Derby, UK
Grienggrai Rajchakit Mathematics Maejo University
Hongwei Zhou School of Mathematics and Information Technology Nanjing Xiaozhuang University, Nanjing, Jiangsu, China
2. Dr. S. Amutha Gyanendra Prasad Joshi . Professor, Department of Computer Science and Engineering Sejong University, Korea
Rajendra Dhakal Professor, Department of Computer Science and Engineering Sejong University,  Korea
Porpattama Hammachukiattikul Professor, Department of Mathematics Phuket Rajabhat University, Thailand
Ismail Naci Cangul Professor, Department of Mathematics Bursa Uludag University, Turkey
Lewis Nkenyereye . Professor, Department of Computer and Information Security Sejong Univer- sity, Korea
G.Muhiuddin Mathematics University of Tabuk, Saudi Arabia
Al-Kadi Mathematics and Statistics Taif University, Saudi Arabia
M.E.Elnair Mathematics and Physics Gezira University, Sudan
Srijana Acharya Department of Convergence Science Kongju National University, korea.
Woong Cho Department of Software Convergence Daegu Catholic University, Korea
Suseok Seo Department of e-Business Yuhan University, Korea
Joohan Ryoo Division of International Studies Hanyang University, Korea
NATIONAL
1. Dr. R.Raja S. Marshal Anthoni Mathematics Anna University Regional Campus Coimbatore
R. Sakthivel Mathematics Bharathiar University
R. Samidurai Mathematics Thiruvalluvar University
Manoj Kumar Mathematics MNIT, Allahabad
U. Karthik Raja Mathematics Mathura College, Madurai
2. Dr.S.Amutha N.Sridharan Mathematics Alagappa University
N.Anbazhagan Mathematics Alagappa University
A.Ramesh Babu Mathematics Hindustan university, Chennai.
K.Jeganathan Mathematics University of Madras, Chennai.
M.Kameswari Mathematics Kalasalingam Academy of Research and Education, Srivilliputhur.
B.Sivakumar Mathematics Madurai Kamaraj University, Madurai.
S. Celine Prabha Mathematics RMD Engineering College, Chennai
M. Palanivel Mathematics Mepco Schlenk Engineering College, Sivakasi
P. Titus Mathematics Anna University, Nagercoil.
Student Council
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ICMMCMSE 2020
ICMMCMSE 2020
ICMMCMSE 2020
Village Extension Programme Kothamangalam(2023)
Village Extension Programme Kothamangalam(2023)
International Conference on “Discrete and Computational Mathematics” (ICDCM-2018)
International Conference on “Discrete and Computational Mathematics” (ICDCM-2018)

School of Mathematical Sciences