# ANALYTICAL SOLUTION OF NONLINEAR SPACE-TIME FRACTIONAL FISHER EQUATION BY IMPROVED ADOMIAN DECOMPOSITION METHOD

## Keywords:

Fractional calculus, Mittage-Leffler function, Adomian decomposition method, Fractional Taylor expansion## Abstract

This paper aims to improve the Adomian decomposition method for obtaining solution of nonlinear nonhomogeneous space time fractional order partial differential equation by using fractional Taylor series expansion. The efficiency and accuracy of this method are shown by obtaining exact solution of Fisher model with suitable initial condition. With the help of this method, it is possible to investigate nature of solution when we vary order of the fractional derivative. Behavior of the solution of this equation is represented by graphs using Matlab software.

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