Wavelet operational matrix method for solving fractional differential equations with variable coefficients

摘要

In this paper, another operational matrix method based on Haar wavelet is proposed to solve the fractional differential equations with variable coefficients. The Haar wavelet operational matrix of fractional order integration is derived without using the block pulse functions considered in Li and Zhao (2010) [1]. The operational matrix of fractional order integration is utilized to reduce the initial equations to a system of algebraic equations. Some examples are included to demonstrate the validity and applicability of the method. Moreover, compared with the known technique, the methodology is shown to be much more efficient and accurate.