Arts & Sciences
Differential operators and equations; Stochastic differential equations; Random walk models of stochastic processes
My research interests are mainly focused on the study of mathematical models of various evolution processes through the partial, stochastic, pseudo-, integro-, operator-, functional-, and fractional order differential equations. Study of solution spaces, properties of solutions, tools and methods of solution, numerical approximations, simulation techniques and related aspects is an essential part of my research interests. Applications of these models to cell biology (spatiotemporal cell signalling models), anomalous diffusion, financial mathematics, and others are also of interest.