Mathematics and Computer Applications - Sciene

The aim of this work is to use the homotopy perturbation method to solve special types of the local and nonlocal problems. This study including the following aspects:
and integro-differential equations.them.applications are advection-diffusion problems, gas dynamics problem and the ground -water level problem.

         The use of fractional orders differential and integral operators in mathematical models has been increasingly widespread in recent years. The non-linear multi-term fractional (arbitrary) order differential equation has been considered. Its solution existences and uniqueness are proved by transform it into a linear system of equations.

This thesis has three objectives: