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پایگاه استنادی علوم جهان اسلام (ISC)

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Kabi-Nejad, Parastoo. (1405). Symmetry properties, exact solution and conservation laws of time-fractional Zeldovich-Frank-Kamenetskii equation. سامانه مدیریت نشریات علمی, 14(2), 958-968. doi: 10.22034/cmde.2025.64871.2954
Parastoo Kabi-Nejad. "Symmetry properties, exact solution and conservation laws of time-fractional Zeldovich-Frank-Kamenetskii equation". سامانه مدیریت نشریات علمی, 14, 2, 1405, 958-968. doi: 10.22034/cmde.2025.64871.2954
Kabi-Nejad, Parastoo. (1405). 'Symmetry properties, exact solution and conservation laws of time-fractional Zeldovich-Frank-Kamenetskii equation', سامانه مدیریت نشریات علمی, 14(2), pp. 958-968. doi: 10.22034/cmde.2025.64871.2954
Kabi-Nejad, Parastoo. Symmetry properties, exact solution and conservation laws of time-fractional Zeldovich-Frank-Kamenetskii equation. سامانه مدیریت نشریات علمی, 1405; 14(2): 958-968. doi: 10.22034/cmde.2025.64871.2954

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

Computational Methods for Differential Equations
مقاله 29، دوره 14، شماره 2، تیر 2026، صفحه 958-968    اصل مقاله (531.45 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2025.64871.2954
نویسنده
Parastoo Kabi-Nejad*
Faculty of Pure Mathematics, School of Mathematics and Computer Science, Iran University of Science and Technology, Narmak, Tehran, Iran.
چکیده
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.
کلیدواژه‌ها
Fractional differential equation؛ Zeldovich-Frank-Kamenetskii equation؛ Lie symmetry؛ Explicit solutions؛ Ibragimov method؛ Conservation laws
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