Journals / Bitlis Eren Üniversitesi Fen Bilimleri Dergisi / 2021 / Cilt: 10 - Sayı: 3

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

Pages
719–743
DOI
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Özet

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