## THERMAL SCIENCE

International Scientific Journal

### HE'S FRACTIONAL DERIVATIVE FOR THE EVOLUTION EQUATION

**ABSTRACT**

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.

**KEYWORDS**

PAPER SUBMITTED: 2018-01-20

PAPER REVISED: 2019-10-28

PAPER ACCEPTED: 2019-10-28

PUBLISHED ONLINE: 2020-06-21

**THERMAL SCIENCE** YEAR

**2020**, VOLUME

**24**, ISSUE

**Issue 4**, PAGES [2507 - 2513]

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