New Exact Solutions of Time Fractional Gardner Equation by Using New Version of F-Expansion Method

PANDIR, YUSUF; Duzgun, Hasan

doi:10.1088/0253-6102/67/1/9

New Exact Solutions of Time Fractional Gardner Equation by Using New Version of F-Expansion Method

PANDIR Y., Duzgun H. H.

COMMUNICATIONS IN THEORETICAL PHYSICS, cilt.67, sa.1, ss.9-14, 2017 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 67 Sayı: 1
Basım Tarihi: 2017
Doi Numarası: 10.1088/0253-6102/67/1/9
Dergi Adı: COMMUNICATIONS IN THEORETICAL PHYSICS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.9-14
Anahtar Kelimeler: new version of F-expansion method, nonlinear differential equations with fractional derivatives, single and combined Jacobi elliptic functions solutions, 1ST INTEGRAL METHOD, MODEL, DIFFUSION, SPACE
Yozgat Bozok Üniversitesi Adresli: Evet

Özet

In this article, we consider analytical solutions of the time fractional derivative Gardner equation by using the new version of F-expansion method. With this proposed method multiple Jacobi elliptic functions are situated in the solution function. As a result, various exact analytical solutions consisting of single and combined Jacobi elliptic functions solutions are obtained.