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Abstract This thesis is devoted to study the approximate solutions for some classes of fractional linear integral equations: We have studied the following ideas and definitions about integral equations and fractional calculus, which are necessary for our work. The applicability of the numerical solution of linear fractional integro- differential equations by two different methods, as Chebyshev polynomials and Homotopy perturbation method for Fredholm integral equations. We study the comparison between the Modified Variational iteration method and Adomian decomposition method for solving linear fractional integro-differential equations for Volterra integral equations. We apply the approximate the solution of linear fractional integro- differential equations, by using Legendre polynomials and an iterative decomposition methods. Adomian decomposition method is applied to solve system of linear fractional integro-differential equations. |