TY - EJOU
AU - Li, Baofeng
TI - The Second Kind Chebyshev Wavelet Method for Fractional Differential Equations with Variable Coefficients
T2 - Computer Modeling in Engineering \& Sciences
PY - 2013
VL - 93
IS - 3
SN - 1526-1506
AB - In this article, the second kind Chebyshev wavelet method is presented for solving a class of multi-order fractional differential equations (FDEs) with variable coefficients. We first construct the second kind Chebyshev wavelet, prove its convergence and then derive the operational matrix of fractional integration of the second kind Chebyshev wavelet. The operational matrix of fractional integration is utilized to reduce the fractional differential equations to a system of algebraic equations. In addition, illustrative examples are presented to demonstrate the efficiency and accuracy of the proposed method.
KW - Fractional calculus
KW - the second kind Chebyshev wavelet
KW - operational matrix
KW - fractional differential equations
KW - Block Pulse Function
DO - 10.3970/cmes.2013.093.187