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He, Ji-Huan; Elagan, S. K.; Li, Z. B.

Geometrical explanation of the fractional complex transform and derivative chain rule for fractional calculus. (English) Zbl 1255.26002

Phys. Lett., A 376, No. 4, 257-259 (2012).
Summary: The fractional complex transform is suggested to convert a fractional differential equation with Jumarie’s modification of Riemann-Liouville derivative into its classical differential partner. Understanding the fractional complex transform and the chain rule for fractional calculus are elucidated geometrically.

Cited in 88 Documents

MSC:

26A33 Fractional derivatives and integrals
34K37 Functional-differential equations with fractional derivatives
34M25 Formal solutions and transform techniques for ordinary differential equations in the complex domain

Keywords:

modified Riemann-Liouville derivative; fractional complex transform; chain rule for fractional calculus
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\textit{J.-H. He} et al., Phys. Lett., A 376, No. 4, 257--259 (2012; Zbl 1255.26002)
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