AN EFFICIENT FRACTIONAL INTEGRATION OPERATIONAL MATRIX OF THE CHEBYSHEV WAVELETS AND ITS APPLICATIONS FOR MULTI-ORDER FRACTIONAL DIFFERENTIAL EQUATIONS

Abstract

In this paper, a new fractional integration operational matrix of the Chebyshev Wavelets is derived and is used to solve multi-order fractional differential equations. The greater advantage behind the proposed matrix is that any fractional differential equation is reduced into a system of algebraic equations. We show the simplicity, the efficiency and the appropriateness of the proposed technique with some numerical examples.