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Abstract This thesis is devoted to study the numerical solutions for some fractional integral equations. We have studied the following: The applicability of chebychev polynomial of the first, second, third and fourth kind for the solution of Abel’s integral equations of the first and second kind and compare it with collocation method. Investigate the numerical results of fractional integro-differential equations by comparison between He’s a variational iteration method and a Taylor expansion method. The numerical solution for solving systems of Abel’s integral equations by using Adomian decomposition method and Homotopy analysis method and compare the results. |