## THERMAL SCIENCE

International Scientific Journal

### HE'S HOMOTOPY PERTURBATION METHOD FOR SOLVING TIME FRACTIONAL SWIFT-HOHENBERG EQUATIONS

**ABSTRACT**

This paper find the most effective method to solve the time-fractional Swift-Hohenberg equation with cubicquintic non-linearity by combining the homotopy perturbation method and the fractional complex transform. The solution reveals some intermittent properties of thermal physics.

**KEYWORDS**

PAPER SUBMITTED: 2016-11-15

PAPER REVISED: 2017-09-24

PAPER ACCEPTED: 2017-09-24

PUBLISHED ONLINE: 2018-09-09

**THERMAL SCIENCE** YEAR

**2018**, VOLUME

**22**, ISSUE

**Issue 4**, PAGES [1601 - 1605]

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