## THERMAL SCIENCE

International Scientific Journal

### HE’S FRACTIONAL DERIVATIVE AND ITS APPLICATION FOR FRACTIONAL FORNBERG-WHITHAM EQUATION

**ABSTRACT**

Fractional Fornberg-Whitham equation with He’s fractional derivative is studied in a fractal process. The fractional complex transform is adopted to convert the studied fractional equation into a differential equation, and He's homotopy perturbation method is used to solve the equation.

**KEYWORDS**

PAPER SUBMITTED: 2015-10-25

PAPER REVISED: 2015-02-24

PAPER ACCEPTED: 2016-03-02

PUBLISHED ONLINE: 2016-03-12

**THERMAL SCIENCE** YEAR

**2017**, VOLUME

**21**, ISSUE

**5**, PAGES [2049 - 2055]

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