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.
Kabi-Nejad, P. (2025). Symmetry properties solution and conservation laws of time-fractional Zeldovich-Frank-Kamenetskii equation. Computational Methods for Differential Equations, (), -. doi: 10.22034/cmde.2025.64871.2954
MLA
Kabi-Nejad, P. . "Symmetry properties solution and conservation laws of time-fractional Zeldovich-Frank-Kamenetskii equation", Computational Methods for Differential Equations, , , 2025, -. doi: 10.22034/cmde.2025.64871.2954
HARVARD
Kabi-Nejad, P. (2025). 'Symmetry properties solution and conservation laws of time-fractional Zeldovich-Frank-Kamenetskii equation', Computational Methods for Differential Equations, (), pp. -. doi: 10.22034/cmde.2025.64871.2954
CHICAGO
P. Kabi-Nejad, "Symmetry properties solution and conservation laws of time-fractional Zeldovich-Frank-Kamenetskii equation," Computational Methods for Differential Equations, (2025): -, doi: 10.22034/cmde.2025.64871.2954
VANCOUVER
Kabi-Nejad, P. Symmetry properties solution and conservation laws of time-fractional Zeldovich-Frank-Kamenetskii equation. Computational Methods for Differential Equations, 2025; (): -. doi: 10.22034/cmde.2025.64871.2954
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