Thesis
Approximate Method for Solving Fuzzy Integral Equations of Fractional Order
The main aim of this thesis is oriented about finding the approximate solution of fuzzy integral equations of fractional order as follows: First studying the basic concept of the main subjects related to the work of this thesis which are so called fractional calculus and fuzzy set theory. Second studying the existence and uniqueness of solutions of the fuzzy integral equations of fractional order. Third finding the approximate solutions of the fuzzy integral equations of fractional order using Adomian decomposition method.
Some Analytical Methods for Solving Some Types of Nonlocal Problems
On the Homotopy Perturbation Method and its Applications
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
Optimality Necessary Conditions For Continuous and discontinuous Fractional order Variational Problems
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.