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

---

Copy For Citation

PANDIR Y., Yildirim A.

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

• Publication Type: Article / Article
• Volume: 28 Issue: 3
• Publication Date: 2018
• Doi Number: 10.1080/17455030.2017.1356490
• Journal Name: WAVES IN RANDOM AND COMPLEX MEDIA
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Page Numbers: pp.399-410
• Yozgat Bozok University Affiliated: Yes

Abstract

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.