The Exp-function Method for Some Time-fractional Differential Equations

BEKIR A., GUNER O., ÇEVİKEL A. C.

IEEE-CAA JOURNAL OF AUTOMATICA SINICA, cilt.4, sa.2, ss.315-321, 2017 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 4 Sayı: 2
  • Basım Tarihi: 2017
  • Doi Numarası: 10.1109/jas.2016.7510172
  • Dergi Adı: IEEE-CAA JOURNAL OF AUTOMATICA SINICA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Emerging Sources Citation Index (ESCI), Scopus, Compendex, INSPEC
  • Sayfa Sayıları: ss.315-321
  • Anahtar Kelimeler: Exact solution, exp-function method, fractional differential equation, NONLINEAR EVOLUTION-EQUATIONS, PERIODIC-SOLUTIONS, MODELS, SOLITONS
  • Yıldız Teknik Üniversitesi Adresli: Evet

Özet

In this article, the fractional derivatives in the sense of modified Riemann-Liouville derivative and the Exp-function method are employed for constructing the exact solutions of nonlinear time fractional partial differential equations in mathematical physics. As a result, some new exact solutions for them are successfully established. It is indicated that the solutions obtained by the Exp-function method are reliable, straightforward and effective method for strongly nonlinear fractional partial equations with modified Riemann-Liouville derivative by Jumarie's. This approach can also be applied to other nonlinear time and space fractional differential equations.