Fractional complex transform for fractional differential equations. (English) Zbl 1215.35164

Li, Zheng-Biao; He, Ji-Huan

Math. Comput. Appl. 15, No. 5, 970-973 (2010).

Summary: Fractional complex transform is proposed to convert fractional differential equations into ordinary differential equations, so that all analytical methods devoted to advanced calculus can be easily applied to fractional calculus. Two examples are given.

MSC:

35R11	Fractional partial differential equations
35A22	Transform methods (e.g., integral transforms) applied to PDEs
35A24	Methods of ordinary differential equations applied to PDEs
26A33	Fractional derivatives and integrals

Keywords:

modified Riemann-Liouville derivative; fractional differential equation; exact solution