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General Letters in Mathematics
Volume 5 - Issue 1 (5) | PP: 32 - 46 Language : English
DOI : https://doi.org/10.31559/glm2018.5.1.5
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Bernoulli Operational Matrix of Fractional Derivative for Solution of Fractional Differential Equations

Rachid Belgacem ,
Ahmed Bokhari ,
Abdessamad Amir
Received Date Revised Date Accepted Date Publication Date
12/12/2018 5/1/2019 17/1/2019 14/2/2019
Abstract
The aim of this paper is to present a numerical method based on Bernoulli polynomials for numerical solutions of fractional differential equations(FDEs). The Bernoulli operational matrix of fractional derivatives[31] is derived and used together with tau and collocation methods to reduce the FDEs to a system of algebraic equations. Hence, the solutions obtained using this method give good approximations. Illustrative examples are included to demonstrate the validity and applicability of the proposed method.
Keywords: Bernoulli polynomials, operational matrix of fractional derivatives, Caputo derivative, fractionalorder differential equations.
How To Cite This Article
Belgacem , R.Bokhari , A. & Amir , A. (2019). Bernoulli Operational Matrix of Fractional Derivative for Solution of Fractional Differential Equations . General Letters in Mathematics, 5 (1), 32-46, 10.31559/glm2018.5.1.5
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