Symmetry properties solution and conservation laws of time-fractional Zeldovich-Frank-Kamenetskii equation

Document Type : Research Paper

Author

Faculty of Pure Mathematics, School of Mathematics and Computer Science, Iran University of Science and Technology, Narmak, Tehran, Iran.

Abstract

Abstract. The article focuses on investigating Lie symmetry analysis of time-fractional Zeldovich-
Frank-Kamenetskii equation with Riemann-Liouville derivative. The fractional reaction-di usion
equation describes how planar laminar premixed
ames spread in combustion theory. The use of
Lie method is also illustrated to obtain Lie symmetry generators, symmetry reduction solutions,
invariant properties, and conservation laws. Furthermore, we convert time-fractional Zeldovich-
Frank-Kamenetskii equation to a nonlinear fractional ordinary di erential equation (ODE) with
Erdelyi-Kober derivative using its Lie point symmetries. This decreased fractional ODE is in-
vestigated by explicit power series. In addition, some gures for obtained explicit solution are
presented.

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Main Subjects



Articles in Press, Accepted Manuscript
Available Online from 03 May 2025
  • Receive Date: 05 December 2024
  • Revise Date: 20 March 2025
  • Accept Date: 02 May 2025