faculty-profile

Dr. Kavitha K

info

Assistant Professor

Computer Science and Artificial Intelligence

VIT Vellore

10.5 Years

Fractional Derivatives, Neural Networks

Fractional Calculus

Mail: k.kavitha@sru.edu.in

Educational
Qualifications
(From Highest)

2022

Ph.D in Vellore Insitute of Technology, Vellore, Tamil Nadu

2006

M.Sc, Bharathiar University, Coimbatore.

2004

B.Sc, Government Arts College, Ooty.

Professional
Experience

2016

Assistant Professor at D.K.M College for Women, Vellore, from 2016-01-16 to 2019-06-28.

2014

Assistant Profeesor at SSS College of Arts and Science,Vellore, from 2014-12-08 to 2016-03-31.

2008

Assistant Professor at Providence College for Women, Coonoor, The Nilgirs, from 2008-01-07 to 2014-03-31.

Student
Supervision

30

PG

60

UG

Key Publications

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.

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, 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.

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, 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.

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, 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, 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.

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.

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.

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.

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.

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, R Udhayakumar, Results on controllability of Hilfer fractional neutral differential equations with infinite delay via measures of noncompactness, Chaos, Solitons & Fractals 139, 110035, 2020.

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.

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