## THERMAL SCIENCE

International Scientific Journal

### APPROXIMATE ANALYTICAL SOLUTION FOR PHI-FOUR EQUATION WITH HE’S FRACTAL DERIVATIVE

**ABSTRACT**

This paper, for the first time ever, proposes a Laplace-like integral transform, which is called as He-Laplace transform, its basic properties are elucidated. The homotopy perturbation method coupled with this new transform becomes much effective in solving fractal differential equations. Phi-four equation with He’s derivative is used as an example to reveal the main merits of the present technology.

**KEYWORDS**

PAPER SUBMITTED: 2019-12-31

PAPER REVISED: 2020-06-28

PAPER ACCEPTED: 2020-06-28

PUBLISHED ONLINE: 2021-03-27

**THERMAL SCIENCE** YEAR

**2021**, VOLUME

**25**, ISSUE

**Issue 3**, PAGES [2369 - 2375]

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