On the generalized time fractional reaction–diffusion equation: Lie symmetries, exact solutions and conservation laws

Jicheng Yu and Yuqiang Feng

Chaos, Solitons & Fractals, 2024, vol. 182, issue C

Abstract: In this paper, Lie symmetry analysis method is applied to the generalized time fractional reaction–diffusion equation. We obtain a conditional symmetric group and some conservation laws of the governing equation. The obtained Lie symmetries are used to reduce the studied fractional partial differential equation to some fractional ordinary differential equations with Riemann–Liouville fractional derivative or Erdélyi-Kober fractional derivative. Furthermore, we obtained asymptotic stable solutions and convergent power series solutions for the reduced equations. The dynamic behavior of these exact solutions is presented graphically.

Keywords: Lie symmetries; Time fractional reaction–diffusion equation; Conservation laws; Exact solutions (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:182:y:2024:i:c:s0960077924004077

DOI: 10.1016/j.chaos.2024.114855

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