A numerical method for solving delay-fractional differential and integro-differential equations
Publish place: Journal of Mahani Mathematical Research، Vol: 4، Issue: 1
Publish Year: 1394
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_KJMMRC-4-1_002
تاریخ نمایه سازی: 24 آذر 1399
Abstract:
This article develops a direct method for solving numerically multi delay-fractional differential and integro-differential equations. A Galerkin method based on Legendre polynomials is implemented for solving linear and nonlinear of equations. The main characteristic behind this approach is that it reduces such problems to those of
solving a system of algebraic equations. A convergence analysis and an error estimation are also given. Numerical results with comparisons are given to confirm the reliability of the proposed method.
Keywords:
Delay-fractional differential and integro-differential equations , Galerkin method , Legendre polynomials
Authors
E. Sokhanvar
Department of Mathematics, Faculty of Science and New Technologies, Graduate University of Advanced Technology, Kerman, Iran
A. Askari-Hemmat
Department of Applied Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran