This work concerns with the nonlocal problems and the main theme of it can be divide into three categories, which can be listed as follows:
First: Some analytical methods namely, the separation of variables and the eigenfunction expansion method to solve some types of linear partial differential equations with nonlocal conditions, are presented.
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.
