Solving Fractional-Order Diffusion Equations in a Plasma and Fluids via a Novel Transform

Motivated by the importance of diffusion equations in many physical situations general and plasma physics particular, therefore, this study, we try to find some novel solutions fractional-order explain ambiguities about phenomena other fields. In article, implement two well-known analytical methods for solution equations. We suggest modified form homotopy perturbation method Adomian decomposition using Jafari-Yang transform. Furthermore, illustrative examples are introduced show accuracy proposed methods. It is observed that has desire rate convergence toward exact solution. The suggested method’s main advantage less number calculations. give series which converges quickly towards To reliability method, present graphical representations results, strong agreement with each other. results showed through graphs tables different confirm converge as tends integer-order. Moreover, it can solve problems having fractional order areas applied sciences. Also, helps physicists modeling several nonlinear structures such solitons, shocks, rogue waves systems.