## THERMAL SCIENCE

International Scientific Journal

### A SHORT REVIEW ON ANALYTICAL METHODS FOR FRACTIONAL EQUATIONS WITH HE'S FRACTIONAL DERIVATIVE

**ABSTRACT**

He's fractional derivative is adopted in this paper, and analytical methods for fractional differential equations are briefly reviewed, two modifications of the exp-function method, the generalized Kudryashov method and generalized exponential rational function method, are emphasized, and fractional Benjamin-Bona-Mahony equation with He's fractional derivative is used an example to elucidate the solution process.

**KEYWORDS**

PAPER SUBMITTED: 2016-05-13

PAPER REVISED: 2016-06-30

PAPER ACCEPTED: 2016-08-26

PUBLISHED ONLINE: 2017-09-09

**THERMAL SCIENCE** YEAR

**2017**, VOLUME

**21**, ISSUE

**Issue 4**, PAGES [1567 - 1574]

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