Work

On invariant solutions of linear time-fractional diffusion-wave equations with variable coefficients

Year: 2026

Type: preprint

Abstract: We study invariant solutions of a certain class of time-fractional diffusion-wave equations with variable coefficients via Lie symmetry analysis. In physics, the fractional diffusion equation describes transport dynamics that are governed by anomalous diffusion while the fractional wave equation describes oscillations and wave propagation in various physical systems. In order to obtain exact invariant solutions of these equations, we firstly determine infinitesimal symmetries with respect to the variable coefficients of the equations. With the help of these symmetries, we then find solutions in terms of Mittag-Leffler functions, generalized Wright functions and Fox H-functions.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2604.21267

Authors: Adiya, Sodbaatar, Dorjgotov, Khongorzul, Gombodorj, Bayarmagnai, Ochiai, Hiroyuki, Zunderiya, Uuganbayar

Institutions: National University of Mongolia, Kyushu University

Topic: Fractional Differential Equations Solutions

Subfield: Modeling and Simulation

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: National University of Mongolia

OpenAlex ID: W7155550229

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