Exact solutions of a linear fractional partial differential equation via characteristics method

Document Type : Research Paper


Department of Mathematics, Shahrood University of Technology, Shahrood, Semnan, Iran


‎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 ‎‎$\gamma‎‎$‎.