Dördüncü Mertebeden Kesirli İntegro-Diferensiyel Denklemlerin Etkili Bir Non-lineer Teknikle Çözümü

Bu çalışmada, tek değişkenli Padé yaklaşımı dördüncü mertebeden kesirli integro-diferensiyel denklemlere uygulandı. Kesirli türevle*r Caputo tanımına göre tanımlandı. Kesirli integro-diferensiyel denklemlerin seri çözümleri, Padé yaklaşımı yardımıyla rasyonel kuvvet serilerine dönüştürüldü. Sonra Padé yaklaşımının etkinliğini göstermek için nümerik sonuçlar karşılaştırıldı.

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

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-differential equations 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.

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