Random Fractional Di erential Transform method for Approximating Quasi Solution of a Fractional Stochastic Nonlinear Inverse Problem

In this paper, quasi solution of an inverse time-fractional stochastic parabolic equation driven bymultiplicative noise is investigated. In this equation, the fractional derivative is considered in the Caputosense. To nd the unknown coe cients, a additional condition is de ned and the minimization of afunctional based on this additional condition is done. In order to approximate the quasi solution, weapply random fractional reduced di erential transform method (RFRDTM). A numerical example isgiven to illustrate the ability and e ciency of method.

Keywords:

Time-fractional stochastic inverse parabolic equation , Quasi solution , Multiplicative noise , Caputo fractional derivative , Random fractional reduced di erential transform method