APPLICATION OF THE (G '/G)-EXPANSION METHOD FOR SOME SPACE-TIME FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS

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Atıf İçin Kopyala

Bayrak M. A.

COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, cilt.67, sa.1, ss.60-67, 2018 (ESCI)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 67 Sayı: 1
• Basım Tarihi: 2018
• Doi Numarası: 10.1501/commual_0000000830
• Dergi Adı: COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS
• Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), TR DİZİN (ULAKBİM)
• Sayfa Sayıları: ss.60-67
• Kocaeli Üniversitesi Adresli: Evet

Özet

In this paper, the (G'/G)-expansion method is presented for finding the exact solutions of the space-time fractional traveling wave solutions for the Joseph-Egri (TRLW) equation and Gardner equation. The fractional derivatives are described by modified Riemann-Liouville sense. Many exact solutions are obtained by the hyperbolic functions, the trigonometric functions and the rational functions. This method is efficient and powerful in performing a solution to the fractional partial differential equations. Also, the method reduces the large amount of calculations.