A ‎method of ‎w‎eighted ‎residuals ‎for ‎s‎olving ‎‎fractional boundary value problems

Hadi Azizi

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.‎‎‎


Keywords


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

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