## THERMAL SCIENCE

International Scientific Journal

### A MODIFICATION FRACTIONAL VARIATIONAL ITERATION METHOD FOR SOLVING NONLINEAR GAS DYNAMIC AND COUPLED KDV EQUATIONS INVOLVING LOCAL FRACTIONAL OPERATORS

**ABSTRACT**

In this paper, we apply a new technique, namely local fractional variational iteration transform method on homogeneous/non-homogeneous non-linear gas dynamic and coupled KdV equations to obtain the analytical approximate solutions. The iteration procedure is based on local fractional derivative and integral operators. This method is the combination of the local fractional Laplace transform and variational iteration method. The method in general is easy to implement and yields good results. Illustrative examples are included to demonstrate the validity and applicability of the new technique.

**KEYWORDS**

PAPER SUBMITTED: 2017-08-04

PAPER REVISED: 2017-11-20

PAPER ACCEPTED: 2017-11-24

PUBLISHED ONLINE: 2018-01-07

**THERMAL SCIENCE** YEAR

**2018**, VOLUME

**22**, ISSUE

**Supplement 1**, PAGES [S165 - S175]

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