Analytical approach for the fractional differential equations by using the extended tanh method

PANDIR Y., Yildirim A.

WAVES IN RANDOM AND COMPLEX MEDIA, vol.28, no.3, pp.399-410, 2018 (SCI-Expanded) identifier identifier


In this study, we consider analytical solutions of space-time fractional derivative foam drainage equation, the nonlinear Korteweg-de Vries equation with time and space-fractional derivatives and time-fractional reaction-diffusion equation by using the extended tanh method. The fractional derivatives are defined in the modified Riemann-Liouville context. As a result, various exact analytical solutions consisting of trigonometric function solutions, kink-shaped soliton solutions and new exact solitary wave solutions are obtained.