Work

Efficient Computational Techniques for Fractional Order Delay-Integro Differential Equations

Year: 2025

Type: article

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.

Source: Afyon Kocatepe University Journal of Sciences and Engineering

DOI: 10.35414/akufemubid.1500759

Authors: Eda Akarsu, Mustafa Gülsu

Institution: Muğla University

Language: English

Topic: Fractional Differential Equations Solutions

Subfield: Modeling and Simulation

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4409376019

FWCI: 0.765

Cites: 23

Cited by: 1

Related to: 10