Exact solutions of some systems of fractional differential-difference equations

Bekir A., Guner O., Ayhan B.

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, cilt.38, sa.17, ss.3807-3817, 2015 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 38 Sayı: 17
  • Basım Tarihi: 2015
  • Doi Numarası: 10.1002/mma.3318
  • Dergi Adı: MATHEMATICAL METHODS IN THE APPLIED SCIENCES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.3807-3817
  • Eskişehir Osmangazi Üniversitesi Adresli: Evet

Özet

In this paper, the (G'/G)-expansion method is proposed to establish hyperbolic and trigonometric function solutions for fractional differential-difference equations with themodified Riemann-Liouville derivative. The fractional complex transform is proposed to convert a fractional partial differential-difference equation into its differential-difference equation of integer order. We obtain the hyperbolic and periodic function solutions of the nonlinear time-fractional Toda lattice equations and relativistic Toda lattice system. The proposed method is more effective and powerful for obtaining exact solutions for nonlinear fractional differential-difference equations and systems. Copyright (C) 2014 JohnWiley& Sons, Ltd.