Abstract

AKTURK, T.. Modified exponential function method for nonlinear mathematical models with Atangana conformable derivative. Rev. mex. fis. [online]. 2021, vol.67, n.4, e040704.  Epub Mar 14, 2022. ISSN 0035-001X.  https://doi.org/10.31349/revmexfis.67.040704.

In this study, we investigate the exact solutions of the modifie Benjamin-Bona-Mahony and Sharma-Tasso-Olver equations, which are define with Atangana conformable fractional derivative, using the modifie exponential function method. Exact solutions of the modifie Benjamin-Bona-Mahony and Sharma-Tasso-Olver equations were obtained by using the modifie exponential function method. Two and three-dimensional and contour graphics are used to understand the physical interpretations of the resulting exact solutions to the mathematical model. When all these results and graphs are analyzed, it has been shown that the modifie exponential function method is an effective method for obtaining exact solutions for all other nonlinear fractional partial differential equations containing conformable fractional derivatives of Atangana.

Keywords : The modifie exponential function method; The space-time fractional modifie Benjamin-Bona-Mahony equation; Fractional Sharma-Tasso-Olver equation; Atangana conformable derivative; contour surfaces.