A numerical method for solving delay-fractional differential and integro-differential equations


  • A‎. ‎ ‎Askari-Hemmat Department of Applied Mathematics‎, ‎Faculty of Mathematics and Computer‎, ‎Shahid Bahonar University of Kerman‎, ‎Kerman‎, ‎Iran
  • E‎. Sokhanvar Department of Mathematics‎, ‎Faculty of Science and New Technologies‎, ‎Graduate‎ ‎University of Advanced Technology‎, ‎Kerman‎, ‎Iran

‎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.

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عنوان ژورنال:

دوره 4  شماره 1

صفحات  11- 24

تاریخ انتشار 2017-05-22

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