TWO-SCALE APPROACH FOR THE ANALYSIS OF TIME-FRACTIONAL DIFFUSION PROBLEMS IN HETEROGENEOUS MEDIA

In this study, we develop a strategy for the fractional analysis of time-fractional diffusion problems in the Caputo sense. Initially, we apply fractional complex transform (FCT) to convert the fractional ordered problems into its differential parts. Then, we use homotopy perturbation scheme (HPS) to compute the iterative series solutions in the shape of He’s polynomials. This approach has significant results without any assumptions or restrictive variables. The derived components are leading to the convergent results of the problem when [Formula: see text]. The validity of proposed technique is investigated by addressing two numerical applications. We provide the variant graphical structures of the derived results and compared it with the precise solution. These results yield the validity and dependability of the suggested approach for the fractional ordered problems.