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Highlights Approximations of the fractional integro-differential equations are obtained. Fractional integration operational matrix of Legendre wavelets is derived. Reducing the initial problem to a system of algebraic equations. Solving the system of algebraic equations, the approximations are got. Abstract: In this paper, numerical solutions of the linear and nonlinear fractional integrodifferential equations with weakly singular kernel where fractional derivatives are considered indoi:10.1016/j.apm.2015.10.009 fatcat:g3lwxfrnpnf3jpzpmaoos5pmii