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

Year 2021, Volume: 10 Issue: 3, 719 - 743, 17.09.2021

Veyis Turut

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

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