Efficient Computational Techniques for Fractional Order Delay-Integro Differential Equations

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Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi
Cilt: 25 Sayı: 2
Efficient Computational Techniques for Fractional Order Delay-Integro Differential Equations

Efficient Computational Techniques for Fractional Order Delay-Integro Differential Equations

Authors : Eda Akarsu, Mustafa Gülsu

Pages : 321-328

Doi:10.35414/akufemubid.1500759

View : 100 | Download : 111

Publication Date : 2025-04-11

Article Type : Research Paper

Abstract :In this paper, we present Legendre - collocation method, together with the Gauss–Legendre quadrature integration for solving fractional order delay-integro differential equations (FDIDE) with Caputo fractional derivative. The properties of shifted Legendre polynomials are used to solve the FDIDE to system of equations. The equation system obtained is solved by using Newton iteration method based on our present method with numerical examples is shown both applicability and efficiency of method. The results obtained by the collocation method are compared with exact solution and is shown to be compatible. The Maple and MATLAB programs are used for the calculations required in the study.
Keywords : Kesirli Gecikmeli İntegro Dİferansiyel Denklem, Ötelenmiş Legendre Polinomları, Caputo Kesirli Türevi, Gauss-Legendre Quadrature, Kolokasyon Metodu

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