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Symmetry properties solution and conservation laws of time-fractional Zeldovich-Frank-Kamenetskii equation | ||
| Computational Methods for Differential Equations | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 13 اردیبهشت 1404 اصل مقاله (1.24 M) | ||
| 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 | ||
| 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. | ||
| کلیدواژه‌ها | ||
| Zeldovich-Frank-Kamenetskii equation؛ Lie symmetry؛ Explicit solutions؛ Ibragimov method؛ Conservation laws | ||
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آمار تعداد مشاهده مقاله: 26 تعداد دریافت فایل اصل مقاله: 45 |
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