4.3 Article

HE'S FRACTIONAL DERIVATIVE FOR THE EVOLUTION EQUATION

Journal

THERMAL SCIENCE
Volume 24, Issue 4, Pages 2507-2513

Publisher

VINCA INST NUCLEAR SCI
DOI: 10.2298/TSCI2004507W

Keywords

He's fractional derivative; fractional complex transform; two-scale transform; homotopy perturbation method; fractional evolution equation; variational principle

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In this paper, He's fractional derivative is adopted to establish fractional evolution equations in a fractal space. He's fractional complex transform is used to convent the fractional evolution equation into its traditional partner, and the homotopy perturbation method is used to solve the equations. Some illustrative examples are presented to show that the proposed technology is very excellent.

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