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

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.


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
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