NEW OPERATIONAL MATRICES FOR CHEBYSHEV WAVELETS AND ITS APPLICATION IN SOLVING THE MULTI-ORDER FRACTIONAL DIFFERENTIAL EQUATION

In this letter a new operational matrix of derivative for Chebyshev wavelets is presented. Shifted Chebyshev polynomials and their properties are employed for deriving a general procedure for forming this matrix. Then Chebyshev wavelets expansions along with these operational matrices are applied for solving multi-order fractional differential equation. Numerical examples are given to illustrate the efficiency and performance of the presented method.