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.
• Mathematical Physics.
• Solitary Waves.