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Dr. Vinodkumar A.

Associate Professor, Department of Mathematics, School of Physical Sciences, Coimbatore

Qualification: BSc, MPhil, MSc, Ph.D
a_vinodkumar@cb.amrita.edu
Dr. Vinodkumar A.'s Google Scholar Profile
Scopus ID
Research Interest: Calculus

Bio

Dr. Vinodkumar A. currently serves as Associate Professor at the department of Mathematics, School of Physical Sciences, Coimbatore Campus.

 

Publications

Journal Article

Year : 2018

Robust exponential stability results for uncertain infinite delay differential systems with random impulsive moments

Cite this Research Publication : A. Vinodkumar, T. Senthilkumar, and Xiaodi Li, "Robust exponential stability results for uncertain infinite delay differential systems with random impulsive moments," Advances in Difference Equations, 2018, 2018 (1): 39.

Publisher : Advances in Difference Equations

Year : 2018

On neutral impulsive stochastic differential equations with Poisson jumps

Publisher : Advances in Difference Equations

Year : 2017

Some results in stochastic functional integro-differential equations with infinite delays

Cite this Research Publication : Dr. Vinodkumar A., “Some results in stochastic functional integro-differential equations with infinite delays”, International Journal of Dynamical Systems and Differential Equations, vol. 7, pp. 36-50, 2017.

Publisher : International Journal of Dynamical Systems and Differential Equations

Year : 2016

Exponential Stability Results for Fixed and Random Type Impulsive Hopfield Neural Networks

Cite this Research Publication : Dr. Vinodkumar A. and Rakkiyappan, R., “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.

Publisher : International Journal of Computing Science and Mathematics

Year : 2016

Existence, Uniqueness and Stability of Random Impulsive Fractional Differential Equations

Cite this Research Publication : Dr. Vinodkumar A., Malar, K., GOWRISANKAR, M., and MOHANKUMAR, P., “Existence, Uniqueness and Stability of Random Impulsive Fractional Differential Equations”, Acta Mathematica Scientia, vol. 36, no. 2, pp. 428 - 442, 2016.

Publisher : Acta Mathematica Scientia

Year : 2016

Existence and Stability Solutions of Nonlinear Stochastic Functional Partial Integrodifferential Equations with Infinite Delay

Cite this Research Publication : C. Parthasarathy, M Arjunan, M., and Dr. Vinodkumar A., “Existence and Stability Solutions of Nonlinear Stochastic Functional Partial Integrodifferential Equations with Infinite Delay”, International Journal of Mathematics in Operational Research, vol. 9, pp. 65–78, 2016.

Publisher : International Journal of Mathematics in Operational Research, Inderscience Publishers (IEL).

Year : 2016

Existence and Stability Results on Nonlinear Delay Integro-Differential Equations with Random Impulses.

Cite this Research Publication : Dr. Vinodkumar A., GOWRISANKAR, M. U. T. H. U. S. A. M. Y., and MOHANKUMAR, P. R. A. T. H. I. B. A. N., “Existence and Stability Results on Nonlinear Delay Integro-Differential Equations with Random Impulses.”, Kyungpook Mathematical Journal, vol. 56, pp. 431 - 450, 2016.

Publisher : Kyungpook Mathematical Journal.

Year : 2016

Existence and Stability Results for Random Impulsive Fractional Pantograph Equations

Cite this Research Publication : A. Anguraj, Dr. Vinodkumar A., and Malar, K., “Existence and Stability Results for Random Impulsive Fractional Pantograph Equations”, Faculty of Sciences and Mathematics, vol. 30, pp. 3839-3854, 2016.

Publisher : Faculty of Sciences and Mathematics, University of Nis, Faculty of Sciences and Mathematics.

Year : 2016

Approximate controllability of random impulsive semilinear control systems

Cite this Research Publication : S. Vijay, Loganathan, C., and Dr. Vinodkumar A., “Approximate controllability of random impulsive semilinear control systems”, Nonlinear Studies, vol. 23, pp. 273-280, 2016.

Publisher : Nonlinear Studies, Cambridge Scientific Publishers,

Year : 2016

Approximate Controllability of Random Impulsive Semilinear Control Systems.

Cite this Research Publication : S. Vijay, Loganathan, C., and Dr. Vinodkumar A., “Approximate Controllability of Random Impulsive Semilinear Control Systems.”, Nonlinear Studies, vol. 23, pp. 273 - 280, 2016.

Publisher : Nonlinear Studies.

Year : 2015

Existence, Uniqueness and stability of Random Impulsive Neutral Partial Differential Equations

Publisher : Journal of the Egyptian Mathematical Society

Year : 2014

Stability results of Random Impulsive Semilinear Differential Equations

Publisher : Acta Mathematica Scientia

Year : 2014

Existence results for Random Impulsive Neutral Differential Inclusions with Lower Semicontinuous

Publisher : International Journal of Computing Science and Mathematics

Year : 2013

Existence, Uniqueness and Stability of Neutral Stochastic Functional Integro-differential Evolution Equations with Infinite Delay

Cite this Research Publication : C. .Parthasarathy, M. Arjunan, M., and Dr. Vinodkumar A., “Existence, Uniqueness and Stability of Neutral Stochastic Functional Integro-differential Evolution Equations with Infinite Delay”, International Journal of Computer Applications (0975 - 8887), vol. 65, pp. 1–7, 2013.

Publisher : International Journal of Computer Applications (0975 - 8887)

Year : 2013

EXISTENCE RESULTS ON IMPULSIVE STOCHASTIC FUNCTIONAL DIFFERENTIAL INCLUSIONS WITH DELAYS

Cite this Research Publication : A. Anguraj, Dr. Vinodkumar A., and Chang, Y. K., “EXISTENCE RESULTS ON IMPULSIVE STOCHASTIC FUNCTIONAL DIFFERENTIAL INCLUSIONS WITH DELAYS”, 2013.

Publisher : EXISTENCE RESULTS ON IMPULSIVE STOCHASTIC FUNCTIONAL DIFFERENTIAL INCLUSIONS WITH DELAYS

Year : 2013

Dynamic Analysis for High-order Hopfield Neural Networks with Leakage Delay and Impulsive Effects

Cite this Research Publication : R. Rakkiyappan, Pradeep, C., Dr. Vinodkumar A., and Rihan, F. A., “Dynamic Analysis for High-order Hopfield Neural Networks with Leakage Delay and Impulsive Effects”, Neural Computing and Applications, vol. 22, pp. 55–73, 2013.

Publisher : Neural Computing and Applications

Year : 2012

Existence Results on Random Impulsive Semilinear functional Differential Inclusions with Delays

Cite this Research Publication : Dr. Vinodkumar A., “Existence Results on Random Impulsive Semilinear functional Differential Inclusions with Delays”, Ann. Funct. Anal, vol. 3, pp. 89–106, 2012.

Publisher : Ann. Funct. Anal

Year : 2012

Existence and Uniqueness of Solutions for Random Impulsive Differential Equation

Cite this Research Publication : Dr. Vinodkumar A., “Existence and Uniqueness of Solutions for Random Impulsive Differential Equation”, Malaya Journal of Matematik, vol. 1, pp. 8–13, 2012.

Publisher : Malaya Journal of Matematik

Year : 2012

Delay-Dependent Exponential Stability Results for Uncertain Stochastic Hopfield Neural Networks with Interval Time-varying Delays

Cite this Research Publication : C. Pradeep, Dr. Vinodkumar A., and Rakkiyappan, R., “Delay-Dependent Exponential Stability Results for Uncertain Stochastic Hopfield Neural Networks with Interval Time-varying Delays”, Arabian Journal of Mathematics, vol. 1, pp. 227–239, 2012.

Publisher : Arabian Journal of Mathematics

Year : 2011

Existence Results for Stochastic Semilinear Differential Inclusions with nonlocal Conditions

Cite this Research Publication : Dr. Vinodkumar A. and Boucherif, A., “Existence Results for Stochastic Semilinear Differential Inclusions with nonlocal Conditions”, International Journal of Stochastic Analysis, vol. 2011, 2011.

Publisher : Hindawi Publishing Corporation

Year : 2011

Existence of random impulsive abstract neutral non-autonomous differential inclusions with delays

Cite this Research Publication : Dr. Vinodkumar A. and Anguraj, A., “Existence of random impulsive abstract neutral non-autonomous differential inclusions with delays”, Nonlinear Analysis: Hybrid Systems, vol. 5, pp. 413 - 426, 2011.

Publisher : Nonlinear Analysis: Hybrid Systems

Year : 2011

The existence and exponential stability of semilinear functional differential equations with random impulses under non-uniqueness

Cite this Research Publication : A. Anguraj, Wu, S., and Dr. Vinodkumar A., “The existence and exponential stability of semilinear functional differential equations with random impulses under non-uniqueness”, Nonlinear Analysis: Theory, Methods & Applications, vol. 74, pp. 331 - 342, 2011.

Publisher : Nonlinear Analysis: Theory, Methods Applications

Year : 2010

EXISTENCE, UNIQUENESS AND STABILITY OF IMPULSIVE STOCHASTIC PARTIAL NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAYS

Cite this Research Publication : A. Anguraj and Dr. Vinodkumar A., “EXISTENCE, UNIQUENESS AND STABILITY OF IMPULSIVE STOCHASTIC PARTIAL NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAYS”, Journal of Applied Mathematics and Informatics, vol. 28, pp. 739–751, 2010.

Publisher : The Korean Society for Computational and App. Math

Year : 2009

Existence, uniqueness and stability results of impulsive stochastic semilinear neutral functional differential equations with infinite delays

Publisher : Electron. J. Qual. Theory Differ. Equ

Year : 2009

Existence and uniqueness of neutral functional differential equations with random impulses

Publisher : International Journal of Nonlinear Science

Conference Paper

Year : 2016

Existence and Uniqueness results for Random Impulsive Partial Differential equation over Real axis

Cite this Research Publication : A. L. P. Indhumathi and Dr. Vinodkumar A., “Existence and Uniqueness results for Random Impulsive Partial Differential equation over Real axis”, in International Journal of Applied Engineering Research (IJAER), 2016.

Publisher : International Journal of Applied Engineering Research (IJAER), Research India Publications .

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