Aghalaya S. Vatsala

Ph.D. 1973 
Indian Institute of Technology, Madras

M.S. 1968 
Bangalore University, Bangalore, India

B.S. 1966 
Bangalore University, Bangalore, India

My main areas of research are ordinary and partial differential equations. My primary focuses are in the study of impulsive differential equations, reaction diffusion equations, differential equations with delay, integro-differential equations, singular systems and its applications. We develop numerical iterative procedures (yielding faster convergence) for the computation of solutions. Lyapunov stability theory, and stability in terms of two measures for large scale dynamical systems are my other major interests.

• Zachary Denton and Vatsala, A. S., Existence in the Large for Caputo Fractional Multi-Order Systems with Initial Conditions, Foundations, 3 (2023), 260-274.
• Vatsala, A. S. and Pageni, Govinda, Caputo Sequential Fractional Differential Equations with Applications, in Synergies in Analysis, Discrete Mathematics, Soft Computing and Modelling, Forum for Interdisciplinary Mathematics Series, Springer, (2023), 83-102.
• Antony Vijesh, V. and Vatsala, A. S. An accelerated technique for the coupled system of reaction-diffusion-transport equations arising from catalytic converters J. Math. Anal. Appl., 515, (2022) 2, Paper No. 126365, 39. 
• Vatsala, A. S., Pageni, Govinda and Vijesh, V. Anthony, Analysis of Sequential Caputo Fractional Differential Equations versus Non-Sequential Caputo Fractional Differential Equations with Applications, Foundations 2, (2022), 1129-1142.
• Govinda Pageni and Aghalaya S Vatsala, Study of Two System of Caputo Fractional Differential Equations with Initial Conditions via Laplace Transform Method, Neural Parallel and Scientific Computations, 29, (2021), No. 2, 69-83.