DOI: 10.36347/sjpms.2020.v07i05.004

Pages: 70-75

This paper aims at the derivation of a new operational matrix of fractional integration for Hermite polynomials, in order to solve the linear form of fractional differential equations (FDEs) in the sense of spectral tau method. To do this, we focus explicitly on the conversion of FDEs into a number of algebraic equations to simplify the problem, subject to pre-defined initial conditions. This is achieved by fractional integration through the Riemann-Liouville sense. We then apply to the proposed strategy to figure out the simplified problem. In order to show the performance of the proposed strategy, we present exact and approximated solutions for a number of examples.