In this article, the aim is to find the solution of fractional order non-linear reactiondiffusion
equation using collocation method through deriving the operational matrix of fractional
derivative. For this purpose the required definitions of fractional order derivatives, Genocchi
polynomial and properties of Kronecker product of matrices used for the approximation of
arbitrary functions are discussed.

In this article, an operational matrix method with Genocchi polynomials is applied to solve a
two dimensional space-time fractional order nonlinear reaction-diffusion equation. Applying
collocation method and using the said matrix, fractional order non-linear partial differential
equation is reduced to a system of algebraic equations, which have been solved using
Newton iteration method. The salient features of the article are finding the stability analysis
and error bound of the proposed scheme and pictorial presentations of the numerical …