Dr. Kavitha K
Assistant Professor
Computer Science and Artificial Intelligence
VIT Vellore
10.5 Years
Fractional Derivatives, Neural Networks
Fractional Calculus
Mail: k.kavitha@sru.edu.in
Assistant Professor
Computer Science and Artificial Intelligence
VIT Vellore
10.5 Years
Fractional Derivatives, Neural Networks
Fractional Calculus
Mail: k.kavitha@sru.edu.in
Ph.D in Vellore Insitute of Technology, Vellore, Tamil Nadu
M.Sc, Bharathiar University, Coimbatore.
B.Sc, Government Arts College, Ooty.
Assistant Professor at D.K.M College for Women, Vellore, from 2016-01-16 to 2019-06-28.
Assistant Profeesor at SSS College of Arts and Science,Vellore, from 2014-12-08 to 2016-03-31.
Assistant Professor at Providence College for Women, Coonoor, The Nilgirs, from 2008-01-07 to 2014-03-31.
PG
UG
Results on controllability of Hilfer fractional differential equations with infinite delay via measures of noncompactness K Kavitha, V Vijayakumar, R Udhayakumar, C Ravichandran Asian Journal of Control 24 (3), 1406-1415
K Kavitha, V Vijayakumar, R Udhayakumar, KS Nisar, Resuls on the existence of Hilfer fractional neutral evolution equations with infinite delay via measures of noncompactness, Mathematical Methods in the Applied Sciences 44 (2), 1438-1455, 2021.
K Kavitha, V Vijayakumar, R Udhayakumar, Results on controllability of Hilfer fractional neutral differential equations with infinite delay via measures of noncompactness, Chaos, Solitons & Fractals 139, 110035, 2020.
A note on approximate controllability of the Hilfer fractional neutral differential inclusions with infinite delay K Kavitha, V Vijayakumar, R Udhayakumar, N Sakthivel, K Sooppy Nisar Mathematical Methods in the Applied Sciences 44 (6), 4428-4447, 2021.
K Kavitha, V Vijayakumar, A Shukla, KS Nisar, R Udhayakumar, Results on approximate controllability of Sobolev-type fractional neutral differential inclusions of Clarke subdifferential type, Chaos, Solitons and Fractals 151 (111264), 1-8, 2021.
K Kavitha, KS Nisar, A Shukla, V Vijayakumar, S Rezapour, A discussion concerning the existence results for the Sobolev-type Hilfer fractional delay integro-differential systems, Advances in Difference Equations 2021 (1), 1-18, 2021.
YK Ma, K Kavitha, W Albalawi, A Shukla, KS Nisar, V Vijayakumar, An analysis on the approximate controllability of Hilfer fractional neutral differential systems in Hilbert spaces Alexandria Engineering Journal 61 (9), 7291-7302, 2022.
V Vijayakumar, R Udhayakumar, K Kavitha, On the approximate controllability of neutral integro-differential inclusions of Sobolev-type with infinite delay, Evolution Equations & Control Theory 10 (2), 271-296, 2021.
K Kavitha, V Vijayakumar, A discussion concerning to partial-approximate controllability of Hilfer fractional system with nonlocal conditions via approximating method, Chaos, Solitons & Fractals 157 (111924), 1-9, 2022.
K Kavitha, V Vijayakumar, An analysis regarding to approximate controllability for Hilfer fractional neutral evolution hemivariational inequality Qualitative theory of dynamical systems 21 (3), 80, 2022
K Kavitha, V Vijayakumar, Optimal control for Hilfer fractional neutral integrodifferential evolution equations with infinite delay, Optimal Control Applications and Methods 44 (1), 130–147, 2022.
K Kavitha, V Vijayakumar, Discussion on controllability of non-densely defined Hilfer fractional neutral differential equations with finite delay International Journal of Nonlinear Sciences and Numerical Simulation, 1-17, 2022.
M Johnson, K Kavitha, D Chalishajar, M Malik, V Vijayakumar and A Shukla, An analysis of approximate controllability for Hilfer fractional delay differential equations of Sobolev type without uniqueness, Nonlinear Analysis: Modelling and Control, 1-23, 2022.
K Kavitha, V Vijayakumar, K S Nisar, On the approximate controllability of non-densely defined Sobolev-type nonlocal Hilfer fractional neutral Volterra-Fredholm delay integro-differential system, Alexandria Engineering Journal, 1-20, 2023.
K Kavitha, V Vijayakumar, A discussion concerning approximate controllability results for Hilfer fractional evolution equations with time delay Mathematical Sciences, 1-9, 2022.
K Kavitha, V Vijayakumar, K S Nisar, A Shukla, W Albalawi, AH Abdel-Aty, Existence and controllability of Hilfer fractional neutral differential equations with time delay via sequence method 1-23 AIMS Mathematics 7 (7), 12760–12780, 2022.