Numerical Method Based on Wavelets, for the Solution of Multi Order Fractional Differential Equations

Samia Bushnaq, Hussan Khan, Muhammad Arif

Abstract

Fractional calculus has been used to model various physical and engineering problems accurately, with the help of fractional differential equations. For this reason we need reliable and efficient techniques to solve fractional differential equations. The current work is concerned with the numerical solution of multi order fractional differential equations, using Chebyshev wavelet method. The Caputo definition of fractional derivative has been used for fractional derivative. The numerical results are tested through some numerical examples, which provide the validity of the proposed method.