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Abstract The integral equations is considered as one of the most important branches of mathematics. The theory of integro-differential equations are contacted with many different areas of mathematics ,foremost among those are differential equations, the theory of analytic functions, fractional differential equations, partial and ordinary differential equations and functional analysis. Many problems in the fields of ordinary and partial differential equations, mathematical physics, theory of elasticity, hydrodynamics, quantum mechanics tend to the form of integro-differential equations. This thesis is devoted to study the approximate solutions of certain classes of fractional integro-differential equations and consists of four chapters, in addition to the introduction and the list of references. The first chapter is devoted mainly to the definitions, preliminaries. |