APPLICATION OF THE $(G0=G)$-EXPANSION METHOD FOR SOME SPACE-TIME FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS

Abstract

In this paper, the $(G0=G)$-expansion method is presented for find-ing the exact solutions of the space-time fractional traveling wave solutionsfor the Joseph-Egri (TRLW) equation and Gardner equation. The fractionalderivatives are described by modi ed Riemann-Liouville sense. Many exact so-lutions are obtained by the hyperbolic functions, the trigonometric functionsand the rational functions. This method is efficient and powerful in perform-ing a solution to the fractional partial di¤erential equations. Also, the methodreduces the large amount of calculations.