Dr. Kavitha Williams W
Assistant Professor
Mathematics
Vellore Institute of Technology
1
Teaching and Research
Fractional Calculus
Assistant Professor
Mathematics
Vellore Institute of Technology
1
Teaching and Research
Fractional Calculus
Ph.D in Mathematics, Vellore Institute of Technology, Vellore
M. Sc Mathematics, Thiruvalluvar University, Vellore
B. Sc Mathematics, Thiruvalluvar University, Vellore
Assistant Professor at Joy University, from 2024-07-01 to 2025-09-30.
UG
W. K. Williams and V. Vijayakumar, Existence of Atangana-Baleanu fractional neutral Volterra integro-differential equations with non-instantaneous impulses, Bulletin des Sciences Mathematiques, 182 (2023), 1-17, 103211. (SCI IF 1.3). Elsevier.
W. K. Williams and V. Vijayakumar, Discussion on the controllability results for fractional neutral impulsive Atangana-Baleanu delay integro-differential systems, Mathematical Methods in the Applied Sciences, (2021), 1-16. DOI: 10.1002/mma.7754. (SCI IF 2.9), Wiley.
Kavitha Williams, W. and Vijayakumar, V., Existence and approximate controllability results for the second-order abstract neutral differential system with damping, Qualitative Theory of Dynamical Systems, 23 (44) (2024), 1-18. (SCI IF 1.4), Springer Nature.
Kavitha Williams, W. and Vijayakumar, V., New discussion on the existence and controllability of fractional evolution inclusion of order 1 < r < 2 without compactness, Mathematical Methods in the Applied Sciences, 46 (12) (2023), 13188–13204. (SCI IF 2.9), Wiley.
W. Kavitha Williams, V. Vijayakumar, K. S. Nisar and A. Shukla, Atangana Baleanu semilinear fractional differential inclusions with infinite delay: existence and approximate controllability, Journal of Computational and Nonlinear Dynamics, 18 (2) (2023), 1-19. (SCI IF 2.0), The American Society of Mechanical Engineers.
W. K. Williams, V. Vijayakumar, R. Udhayakumar and K. S. Nisar, A new study on existence and uniqueness of nonlocal fractional delay differential systems of order 1 < r < 2 in Banach spaces, Numerical Methods for Partial Differential Equations, 37 (2) (2020), 949-961. (SCI IF 3.9), Wiley.
W. K. Williams, V. Vijayakumar, R. Udhayakumar, S. K. Panda and K. S. Nisar, Existence and controllability of nonlocal mixed Volterra-Fredholm type fractional delay integro-differential equations of order 1 < r < 2, Numerical Methods for Partial Differential Equations, 40 (1) (2020), 1-21. (SCI IF 3.9), Wiley.
W. K. Williams, V. Vijayakumar, A. Shukla and K. S. Nisar, An analysis on approximate controllability of Atangana-Baleanu fractional semilinear control systems, International Journal of Nonlinear Sciences and Numerical Simulation, 24 (7) (2023), 2627-2638. (SCI IF 1.5), Walter de Gruyter GmbH.
Yong-Ki Ma, W. Kavitha Williams, V. Vijayakumar, K. S. Nisar and A. Shukla, Results on Atangana-Baleanu fractional semilinear neutral delay integro differential systems in Banach space, Journal of King Saud University - Science, 34 (6) (2022), 1-7. (SCI IF 3.8), Elsevier.
RS Shanmugapriya, W Kavitha Williams, SK Panda, V Vijayakumar, Approximate controllability results for second-order non-local neutral impulsive differential inclusions with damping, Journal of Control and Decision, (2025), 1-6. (SCI IF 1.8), Taylor & Francis.