Assistant Professor
Mathematics
Adithya Institute of Technology
Areas of Expertise
Fractional differential Equations, Stochastic differential equations
Dr. Kalamani obtained her PhD. in mathematics with a thesis on the existence and controllability results of fractional neutral integro- differential systems with delay in Banach spaces at Bharathiar University, C.B.M College, Kovaipudhur. She is currently working as an assistant professor at Adithya Institute of Technology (Coimbatore).
CONFERENCE PARTICIPATIONS AND PRESENTATIONS • International Conference on Nonlinear Dynamics: Modeling & Computation (ICNDMC 2025) during February 17th to 19th, 2025, held at the Department of Mathematics, Bharathiar University, Coimbatore. • National Conference on Ramanujan’s Contributions and Recent Trends in Mathematics, School of Mathematics, Madurai Kamaraj University, 2015. • International Conference on Mathematical Methods and Computation, Jamal Mohamed College, Tiruchirappalli, Tiruchi, 2015. • National Conference on Advances in Applied Mathematics, Bharathiar University, Coimbatore, 2015. • National Conference on Mathematical Techniques and their Applications, SRM University, Kattankulathur, Chennai, 2017.
WORKSHOPS AND REFRESHER COURSE • Science Academies’ Lecture workshop on Recent Trends in Functional Analysis, P.S.G.R Krishnammal College for Women, Coimbatore, 2014. • Science Academies’ Refresher course on “Differential Equations and Their Applications”, P. S. G. R Krishnammal College for Women, Coimbatore, Sep 2017.
PUBLICATIONS
1. On fractional neutral integro-differential systems with state-dependent delay and non-instantaneous impulses, Advances in Difference Equations, 2015 (1), 372.
2. On existence results for impulsive fractional neutral stochastic integro-differential equations with nonlocal and state-dependent delay conditions, Advances in Difference Equations, 2016 (1), 163.
3. A note on non-instantaneous impulsive fractional neutral integro-differential systems with state-dependent delay in Banach spaces, Journal of Computational Analysis and Applications, 2018 (603).
4. Approximate controllability of Riemann-Liouville fractional integro-differential equations with nonlocal conditions, International Journal of Pure and Applied Mathematics, 113 (6) 2017, 165 – 173.
5. Existence Results for Fractional Evolution Systems with Riemann-Liouville Fractional Derivatives and Nonlocal Conditions, Fundamenta Informaticae, 151 (1-4) 2017, 487-504.
6. Sobolev type fractional integro-differential systems with nonlocal condition through resolvent operators, Nonlinear Studies, 23 (3) 2016.
7. Existence and controllability of fractional neutral integro-differential systems with state-dependent delay, Communicate to The Journal Mathematics and its Applications, 2018.
8. Local existence for impulsive fractional neutral integro-differential system with Riemann-Liouville fractional derivatives in Banach space, Advances in Difference Equations, 2018(1), 1-26.
9. Existence and uniqueness results for fractional neutral differential equations with nonlocal condition involving Atangana-Beleanu derivative, Fundamenta Informaticae, 151 (1-4), 487-504, 2022.
10. Results on the existence, uniqueness, and controllability of neutral fractional differential equations in the sense of Atangana-Baleanu derivative, The Journal of Analysis, 33(1), 105-120, 2023.
BOOK PUBLICATIONS: 1. Book Chapter: “Results on Existence and Controllability of Caputo Fractional Neutral Integro-Differential Equations” Book Title: Recent Developments in Fractional Calculus: Theory, Applications, and Numerical Simulations, Publisher – Springer Nature Switzerland, pp. 85-114, 2025. 2. “Book Title: Complex analysis & Transforms, (Common to ECE & EEE- Regulation 2024), ISBN: 979-889777734-1. 3. “Book Title: Numerical Methods & Complex Analysis , (Common to Mech & Civil-Regulation 2024), ISBN: 13- 979-890319062