Dr. Kavitha Williams

Assistant Professor • Department of Mathematics

PhD from

VIT University

Years of Experience

2 Years

Web Pages

Contact Details

w.kavithawilliams@sru.edu.in

Availability

8.30 a.m. to 4.30 p.m.

I am a Mathematics faculty member with a strong interest in teaching and research. My research interests include fractional differential equations, differential inclusions and control theory. I enjoy exploring mathematical concepts and finding ways to make them easier for students to understand. My teaching approach focuses on building a clear understanding of fundamental concepts, encouraging logical thinking and developing problem-solving skills.

Research Areas

Fractional Differential Equation

Ph. D in Mathematics

2024

VIT University, Vellore

Assistant Professor

2024-2025

Joy University

→ DMS
→ Probability and Statistics

Key Publications

W. Kavitha Williams, José Paulo Carvalho dos Santos, Anurag Shukla and V. Vijayakumar, “Approximate and exact controllability results for nonlocal fractional integro-differential equations via measure of noncompactness and resolvent operators,” Bulletin des Sciences Mathématiques, 213 (2026), 103936.
W. K. Williams and V. Vijayakumar, “Existence of Atangana-Baleanu fractional neutral Volterra integro-differential equations with non-instantaneous impulses,” Bulletin des Sciences Mathématiques, 182 (2023), 103211.
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), DOI: 10.1002/mma.7754.
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.
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 (2024), 44.
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.
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.
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.
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.
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.
R. S. Shanmugapriya, W. Kavitha Williams, S. K. Panda and V. Vijayakumar, “Approximate controllability results for second-order non-local neutral impulsive differential inclusions with damping,” Journal of Control and Decision (2025), 1–6.

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