An Efficient Nonlinear Technique For Solving Fourth-order Fractional Integro-differential equations

Authors : Veyis TURUT

Pages : 719-743

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Publication Date : 2021-09-17

Article Type : Research Paper

Abstract :In this Study univariate Padé approximation is applied to power series solutions of Fourth-order Fractional Integro-differential equations. The fractional derivatives are described in the Caputo sense. Power series solutions of the Fractional Integro-differentialequations are converted into rational power series solutions by applying univariate Padé approximation. Then the numerical results were compared to show the effectiveness of univariate Padé approximation.
Keywords : Padé Approximation, Homotopy Pertubation Method, Caputo fractional Derivative, Integro Differential equation