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1- Mathematical modelling.

2- Fractional Dynamical Systems.

3- Numerical solution of ordinary and partial differential equations of fractional order.

4- Theory of fractional differential equations and integral equations.

5- Newtonian and non-Newtonian fluid mechanics.

6- Stability of fractional linear systems.

7- Fractional Order Modeling and Control in Biomedical Engineering.

8- Variational inequalities and obstacle problems.

9- Mathematical biology.

10- Mathematical physics.​