Sinc-Galerkin method for solving higher order fractional boundary value problems

A. Darweesh*, K. Al-Khaled

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

In this work we use the sinc-Galerkin method to solve higher order fractional boundary value problems. We estimate the second order fractional derivative in the Caputo sense. More precisely, we find a numerical solution for g1(t)Dαu(t) + g2(t)Dβu(t) + p(t)u(4)(t) + q(t)u(t) = f(t), 0 < t < 1, 0 < β < 1, 1 < α < 2, subject to the boundary conditions u(0) = 0, u0(0) = 0, u(1) = 0, u0(1) = 0. Our contribution appears in the estimate of Dαu for higher order α. Numerical examples are described to show the accuracy of this attempt where we applied the sinc-Galerkin method for fractional order differential equations with singularities.

Original languageEnglish
Pages (from-to)267-281
Number of pages15
JournalNonlinear Dynamics and Systems Theory
Volume20
Issue number3
Publication statusPublished - 2020
Externally publishedYes

Keywords

  • Caputo derivative
  • Higher order fractional boundary value problems
  • Numerical solution
  • Sinc-Galerkin method

ASJC Scopus subject areas

  • Mathematical Physics
  • Applied Mathematics

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