Work

Two-scale Approach for the Analysis of Time-fractional Diffusion Problems in Heterogeneous Media

Year: 2025

Type: article

Abstract: 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.

Source: Fractals

DOI: 10.1142/s0218348x25402091

Authors: JINGMEI PENG, HUAPING XIAO, ASIM SULEMAN A. ALWABEL, SHARIFAH E. ALHAZMI, ABDELAZIZ G. M. MUSA

Institutions: Yibin University, King Khalid University, Umm al-Qura University, Al-Neelain University

Language: English

Topic: Fractional Differential Equations Solutions

Subfield: Modeling and Simulation

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Funder: Yibin University

OpenAlex ID: W4411435103

FWCI:

Cites: 30

Cited by:

Related to: 10