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: (1) Give some basic concepts of the homotopy perturbation method. (2) Use the homotopy perturbation method to solve some types of differential, integral

In this thesis, some properties and basic definitions of fractional integral and derivatives of Riemann-Liouvill
are presented , to construct the optimality conditions of mixed order unconstrained and constrained variational
problems with continuous and discontinuous functional, on fixed and moving boundaries ,based on the classical
product rule for Riemann-Liouvill , Several tested example are presented to demonstrate the implementation of the optimality necessary conditions.