Dr. Vinodkumar A. currently serves as Assistant Professor (Sr. G)  at the department of Mathematics, School of Engineering, Coimbatore Campus.

Publications

Publication Type: Journal Article
Year of Publication Publication Type Title
2016 Journal Article A. Vinodkumar, Malar, K., Gowrisankar, M., and Mohankumar, P., “Existence, uniqueness and stability of random impulsive fractional differential equations”, Acta Mathematica Scientia, vol. 36, pp. 428-442, 2016.[Abstract]

In this article, we study the existence, uniqueness, stability through continuous dependence on initial conditions and Hyers-Ulam-Rassias stability results for random impulsive fractional differential systems by relaxing the linear growth conditions. Finally, we give examples to illustrate its applications. © 2016 Wuhan Institute of Physics and Mathematics.

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2016 Journal Article A. Vinodkumar and Rakkiyappan, Rb, “Exponential stability results for fixed and random type impulsive Hopfield neural networks”, International Journal of Computing Science and Mathematics, vol. 7, pp. 1-19, 2016.[Abstract]

This article presents the exponential stability results on impulsive Hopfield neural networks (IHNNs) via variation of parameters and fixed point theory. The study is mainly considering two types of IHNNs, namely fixed and random type IHNNs. A numerical example is also presented to validate the theoretical results. Copyright © 2016 Inderscience Enterprises Ltd.

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2016 Journal Article S. Vijay, Loganathan, C., and Vinodkumar, A., “Approximate controllability of random impulsive semilinear control systems”, Nonlinear Studies, vol. 23, pp. 273-280, 2016.[Abstract]

In this paper, we study the existence of approximate controllability of random impulsive semilinear control system under a sufficient condition with non-densely defined system. Finally, examples are given to illustrate the applications of the abstract results. More »»
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Faculty Email: 
a_vinodkumar@cb.amrita.edu