JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, vol.6, no.1, pp.131-144, 2016 (SCI-Expanded)
Article / Article
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION
Science Citation Index Expanded (SCI-EXPANDED), Scopus
The (G '/G)-expansion method, exact solutions, fractional differential equation, modified Riemann-Liouville derivative, FITZHUGH-NAGUMO EQUATION, NONLINEAR EVOLUTION-EQUATIONS, TRAVELING-WAVE SOLUTIONS, MODIFIED KDV EQUATION, VARIABLE-COEFFICIENTS, MATHEMATICAL PHYSICS, MKDV EQUATION, EXPLICIT, CALCULUS
Eskisehir Osmangazi University Affiliated:
In this paper, the fractional complex transform and the (G '/G)-expansion method are employed to solve the time-fractional modfied Korteweg-de Vries equation (fmKdV), Sharma-Tasso-Olver, Fitzhugh-Nagumo equations, where G satisfies a second order linear ordinary differential equation. Exact solutions are expressed in terms of hyperbolic, trigonometric and rational functions. These solutions may be useful and desirable to explain some nonlinear physical phenomena in genuinely nonlinear fractional calculus.