Title: Solvability and conservation laws of a generalized time-fractional wave-diffusion equations via invariant analysis

Authors: Youwei Zhang

Addresses: School of Mathematics and Statistics, Hexi University, 734000, Zhangye, China

Abstract: In this paper, invariant analysis of a generalised time-fractional wave-diffusion equation in sense of the modified Riemann-Liouville derivative is considered. Differential invariant properties of the admitted Lie groups are used to reducing order in given wave-diffusion equation, geometric vector fields and exact solutions are obtained. The derivation of conservation laws associated with the invariant analysis of the equation are constructed by the Noether's theorem.

Keywords: wave-diffusion; Erdélyi-Kober operator; symmetry reductions; exact solution; conservation laws.

DOI: 10.1504/IJDSDE.2022.128124

International Journal of Dynamical Systems and Differential Equations, 2022 Vol.12 No.6, pp.527 - 544

Accepted: 19 Jan 2022
Published online: 06 Jan 2023 *

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