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A new method for constructing exact solutions for a time-fractional differential equation | ||
| Computational Methods for Differential Equations | ||
| مقاله 13، دوره 8، شماره 1، فروردین 2020، صفحه 194-204 اصل مقاله (662.75 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2019.9525 | ||
| نویسندگان | ||
| Elham Lashkarian* ؛ Seyed Reza Hejazi؛ Noora Habibi | ||
| Faculty of Mathematical Sciences, Shahrood University of Technology, Shahrood, Semnan, Iran. | ||
| چکیده | ||
| In the present paper the process of finding new solutions from previous solutions of a given fractional differential equation (FDE) is considered. For this issue, first we should construct an exact solution by using the symmetry operators of the equation. Then, the commutator brackets of the obtained operators give new solutions from old ones via a systematic method. | ||
| کلیدواژهها | ||
| Lie point symmetry؛ Fractional calculus؛ Fractional differential equation؛ Exact solution | ||
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آمار تعداد مشاهده مقاله: 513 تعداد دریافت فایل اصل مقاله: 343 |
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