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Exact solutions of a linear fractional partial differential equation via characteristics method | ||
| Computational Methods for Differential Equations | ||
| مقاله 2، دوره 6، شماره 1، فروردین 2018، صفحه 12-18 اصل مقاله (280.04 K) | ||
| نوع مقاله: Research Paper | ||
| نویسندگان | ||
| Elham Lashkarian؛ Seyed Reza Hejazi* | ||
| Department of Mathematics, Shahrood University of Technology, Shahrood, Semnan, Iran | ||
| چکیده | ||
| In recent years, many methods have been studied for solving differential equations of fractional order, such as Lie group method, invariant subspace method and numerical methods, \cite{6,5,7,8}. Among this, the method of characteristics is an efficient and practical method for solving linear fractional differential equations (FDEs) of multi-order. In this paper we apply this method for solving a family of linear (2+1)-dimensional FDE of multi order $\alpha,\beta$ and $\gamma$. | ||
| کلیدواژهها | ||
| Fractional derivatives؛ Mittag-Leffler function؛ Characteristics method | ||
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