Research Interests

My general research interests are in the areas of applied mathematics, Non-Newtonian Fluid Mechanics, differential equations of applied mathematics, fractional calculus and fractional differential equation. More specifically, my research interests can be summarized as follows:

Numerical solution of ordinary and partial fractional differential equations.
Numerical solution of ordinary and partial differential equations.
Numerical solution of fractional integro-differential equations.
Theory of fractional differential and integral equations.
Theory of fractional integro-differential equations.
Newtonian and Non-Newtonian fluid mechanics.
Stability of fractional linear and nonlinear systems.
Fractional chaotic systems.
Variational inequalities and obstacle problems.
Mathematical modelling.
Oil shale.
Synchronization in fractional differential chaotic systems.