University of Tabriz Computational Methods for Differential Equations 2345-3982 14 2 2026 04 01 Symmetry properties, exact solution and conservation laws of time-fractional Zeldovich-Frank-Kamenetskii equation 958 968 19757 10.22034/cmde.2025.64871.2954 EN Parastoo Kabi-Nejad Faculty of Pure Mathematics, School of Mathematics and Computer Science, Iran University of Science and Technology, Narmak, Tehran, Iran. Journal Article 2024 12 05 The article focuses on investigating Lie symmetry analysis of the time-fractional Zeldovich-Frank-Kamenetskii equation with Riemann-Liouville derivative. The fractional reaction-diffusion equation describes how planar laminar premixed flames spread in combustion theory. The use of the Lie method is also illustrated to obtain Lie symmetry generators, symmetry reduction solutions, invariant properties, and conservation laws. Furthermore, we convert the time-fractional Zeldovich-Frank-Kamenetskii equation to a nonlinear fractional ordinary differential equation (ODE) with Erd\'{e}lyi-Kober derivative using its Lie point symmetries. This decreased fractional ODE is investigated by explicit power series. In addition, some figures for the obtained explicit solution are presented. https://cmde.tabrizu.ac.ir/article_19757_51878580b3bd34a14aeb50029940ba0f.pdf