A WAVELET-BASED NUMERICAL ALGORITHM FOR SOME FRACTIONAL MODELS

This article presents an efficient numerical algorithm based on Legendre wavelets operational matrix for solving some fractional models. Fractional integration operational matrix of Legendre wavelets is derived  and  it  is  employed  to  reduce  fractional  differential  equations  into  a  system  of  algebraic equations.  Mixing  problems,  Newton  law  of  cooling  problems  and  sugar  inversion  problems  are included  to  elucidate  the  applicability  and  the  simplicity  of  the  Legendre  wavelet-based  numerical algorithm.