The First Integral Method for Exact Solutions of Nonlinear Fractional Differential Equations

Bekir A., Guner O., ÜNSAL Ö.

JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS, cilt.10, sa.2, 2015 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 10 Sayı: 2
  • Basım Tarihi: 2015
  • Doi Numarası: 10.1115/1.4028065
  • Dergi Adı: JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: exact solutions, first integral method, fractional complex transform, time fmKdV equation, space-time fmBBM equation, HOMOTOPY ANALYSIS METHOD, DE-VRIES EQUATION, 1ST-INTEGRAL METHOD, TRANSFORM METHOD, ORDER
  • Eskişehir Osmangazi Üniversitesi Adresli: Evet

Özet

In this paper, we establish exact solutions for some nonlinear fractional differential equations (FDEs). The first integral method with help of the fractional complex transform (FCT) is used to obtain exact solutions for the time fractional modified Korteweg-de Vries (fmKdV) equation and the space-time fractional modified Benjamin-Bona-Mahony (fmBBM) equation. This method is efficient and powerful in solving kind of other nonlinear FDEs.