A ‎method of ‎w‎eighted ‎residuals ‎for ‎s‎olving ‎‎fractional boundary value problems

Authors

  • Hadi Azizi Islamic Azad University, Taft Branch

DOI:

https://doi.org/10.30495/jme.v15i0.2231

Keywords:

Riemann-Liouville fractional derivative‎, ‎Caputo fractional derivative‎, ‎Fractional differential equations‎, ‎Weighted residuals ‎method, ‎ ‎Galerkin method

Abstract

In this paper‎, ‎we ‎proposed‎ an approximation ‎scheme‎ for solving boundary value‎ problems of fractional ‎order ‎with‎ a finite element called the method of Weighted‎ residuals.‎ The fractional differential operators are taken in the‎

‎Riemann-Liouvill and Coputo sense‎.‎‎ Numerical examples are provided to show that the numerical method is ‎easy to apply ‎and‎ computationally efficient.‎‎‎

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Published

2022-03-15

Issue

Vol. 15

Section

Vol. 15, No. 5, (2021)

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