Efficient Method for the Solution of Fractional-order Differential Equations with Variable Coefficients

Abstract

In this paper, we propose the Bernoulli wavelet approximation for the solution of the fractional differential equations with variablecoefficients. In the proposed method, the fractional derivatives are transformed using the operational matrix of fractional orderintegration and by doing that differential equation reduces to a system of algebraic equations. The operational matrix of fractional orderintegration is obtained via block pulse functions. Illustrative examples are presented. The examples demonstrate that the method isaccurate and efficient.