Numerical Solution for Solving Fractional Differential Equations using Shifted Chebyshev Wavelet

Mohamed Elarabi Benattia , Belghaba Kacem

In this paper, we are interested to develop a numerical method based on the Chebyshev wavelets for solving fractional order differential equations (FDEs). As a result of the presentation of Chebyshev wavelets, we highlight the operational matrix of the fractional order derivative through wavelet-polynomial ...

Bernoulli Operational Matrix of Fractional Derivative for Solution of Fractional Differential Equations

Rachid Belgacem , Ahmed Bokhari , Abdessamad Amir

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 ...