Partial differential equations (PDEs) involving fractional Laplace operators have been increasingly used to model non-local diffusion processes and are actively investigated using both analytical numerical approaches. The purpose of this work is study the effects spectral Laplacian on bifurcation structure reaction-diffusion systems bounded domains. In order do we use advanced continuation tech...

In this article New Iterative Method (NIM) is tested upon time fractional coupled ITO system. The results obtained by the proposed method are compared with that of Homotopy Perturbation (HPM). It shown accurate for strongly nonlinear system PDEs.