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Zbl 1215.35164
Li, Zheng-Biao; He, Ji-Huan
Fractional complex transform for fractional differential equations.
(English)
[J] Math. Comput. Appl. 15, No. 5, 970-973 (2010). ISSN 1300-686X

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 2000:
*35R11
35A22 Transform methods (PDE)
35A24
26A33 Fractional derivatives and integrals (real functions)

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

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Scientific prize winners of the ICM 2010
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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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