A fractional characteristic method for solving fractional partial differential equations. (English) Zbl 1216.35166

Summary: The method of characteristics has played a very important role in mathematical physics. Previously, it has been employed to solve the initial value problem for partial differential equations of first order. In this work, we propose a new fractional characteristic method and use it to solve some fractional partial differential equations.


35R11 Fractional partial differential equations
26A33 Fractional derivatives and integrals
35A24 Methods of ordinary differential equations applied to PDEs
Full Text: DOI arXiv


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