A strong technique for solving the fractional model of multi-dimensional Schnakenberg reaction-diffusion system

In recent times, researchers have increasingly directed their focus toward Reaction-Diffusion models, attracted by their versatile applications across various scientific domains. Within these models, the Schnakenberg Reaction-Diffusion System (SRDS) has gained significant attention for its ability to explain intricate phenomena such as oscillatory behavior, limit cycles, pattern formations and diffusion in biochemistry. This paper specifically delves into the Fractional Schnakenberg Reaction Diffusion System (FSRDS), an extension of SRDS that incorporates principles of fractional calculus. This extension provides a more comprehensive framework for understanding complex dynamics. The unique aspect of this work lies in the innovative approach used to derive an analytical solution for FSRDS - the Residual Power Series Method with Laplace Transform (L.T.)/Laplace Residual Power series Method (LRPSM). By employing LRPSM and considering the provided initial conditions, our objective is to unveil an analytical solution for FSRDS.