Application of the Fractional Complex Transform to Fractional Differential Equations

51 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Exact solutions of nonlinear time fractional partial differential equations by sub‐equation method (2015, methodology): “Step 1: Li and He [26, 27] suggested a fractional complex transform to convert FDEs into ordinary differential equations, so all analytical methods devoted to the advanced calculus can be easily applied to the fractional calculus.”
A note on exp-function method combined with complex transform method applied to fractional differential equations (2015, methodology): “The fractional complex transform [25, 33, 34] is the simplest approach to convert fractional di erential equations into ordinary di erential equations.”
Fractional Complex Transform and exp-Function Methods for Fractional Differential Equations (2013, background): “Li and He [25, 26] suggested a fractional complex transform to convert fractional differential equations into ordinary differential equations, so all analytical methods devoted to the advanced calculus can be easily applied to the fractional calculus.”