Exact solutions of nonlinear time fractional partial differential equations by sub-equation method

Bekir A., Aksoy E., ÇEVİKEL A. C.

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, cilt.38, sa.13, ss.2779-2784, 2015 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 38 Sayı: 13
  • Basım Tarihi: 2015
  • Doi Numarası: 10.1002/mma.3260
  • Dergi Adı: MATHEMATICAL METHODS IN THE APPLIED SCIENCES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.2779-2784
  • Anahtar Kelimeler: exact solutions, fractional complex transform, sub-equation method, time fractional differential equations, subclass34A08, 35R11, 83C15
  • Yıldız Teknik Üniversitesi Adresli: Evet

Özet

In this article, the sub-equation method is presented for finding the exact solutions of a nonlinear fractional partial differential equations. For this, the fractional complex transformation method has been used to convert fractional-order partial differential equation to ordinary differential equation. The fractional derivatives are described in Jumarie's the modified Riemann-Liouville sense. We apply to this method for the nonlinear time fractional differential equations. With the aid of symbolic computation, a variety of exact solutions for them are obtained. Copyright (c) 2014 John Wiley & Sons, Ltd.