## THERMAL SCIENCE

International Scientific Journal

### LOCAL FRACTIONAL DERIVATIVE: A POWERFUL TOOL TO MODEL THE FRACTAL DIFFERENTIAL EQUATION

**ABSTRACT**

In this paper, the modified Fornberg-Whitham equation is described by the local fractional derivative for the first time. The fractal complex transform and the modified reduced differential transform method are successfully adopted to solve the modified local Fornberg-Whitham equation defined on fractal sets.

**KEYWORDS**

PAPER SUBMITTED: 2018-07-12

PAPER REVISED: 2018-09-13

PAPER ACCEPTED: 2019-01-28

PUBLISHED ONLINE: 2019-05-26

**THERMAL SCIENCE** YEAR

**2019**, VOLUME

**23**, ISSUE

**3**, PAGES [1703 - 1706]

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