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

Wu, Guo-Cheng

Appl. Math. Lett. 24, No. 7, 1046-1050 (2011).

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.

MSC:

35R11	Fractional partial differential equations
26A33	Fractional derivatives and integrals
35A24	Methods of ordinary differential equations applied to PDEs

Keywords:

modified Riemann-Liouville derivative; fractional characteristics method; fractional partial differential equations

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