## THERMAL SCIENCE

International Scientific Journal

### GENERALIZED EXP-FUNCTION METHOD FOR NON-LINEAR SPACE-TIME FRACTIONAL DIFFERENTIAL EQUATIONS

**ABSTRACT**

A generalized exp-function method is proposed to solve non-linear space-time fractional differential equations. The basic idea of the method is to convert a fractional partial differential equation into an ordinary equation with integer order derivatives by fractional complex transform. To illustrate the effectiveness of the method, space-time fractional asymmetrical Nizhnik-Novikor-Veselov equation is considered. The fractional derivatives in the present paper are in Jumarie’s modified Riemann-Liouville sense.

**KEYWORDS**

PAPER SUBMITTED: 2014-03-08

PAPER REVISED: 2014-05-12

PAPER ACCEPTED: 2014-07-02

PUBLISHED ONLINE: 2015-01-04

**THERMAL SCIENCE** YEAR

**2014**, VOLUME

**18**, ISSUE

**5**, PAGES [1573 - 1576]

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