Analytical approach for space-time fractional Klein-Gordon equation

ÜNSAL Ö., GÜNER Ö., Bekir A.

OPTIK, cilt.135, ss.337-345, 2017 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 135
  • Basım Tarihi: 2017
  • Doi Numarası: 10.1016/j.ijleo.2017.01.072
  • Dergi Adı: OPTIK
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.337-345
  • Anahtar Kelimeler: Exact solution, (G'/G)-expansion method, (w/g)-expansion method, The space-time fractional Klein-Gordon equation, Modified Riemann-Liouville derivative, 1ST INTEGRAL METHOD, TRAVELING-WAVE SOLUTIONS, (G'/G)-EXPANSION METHOD, DIFFERENTIAL-EQUATIONS, EVOLUTION
  • Eskişehir Osmangazi Üniversitesi Adresli: Evet

Özet

In this work, we find exact solutions of space-time fractional Klein-Gordon equation including Jumarie's modified Riemann-Liouville derivative by using fractional complex transform, (G'/G) and (w/g)-expansion methods which is employed to solve fractional differential equations in mathematical physics and applied mathematics. As a result, two types of exact solutions are obtained. It is shown that the considered transform and method are very efficient and powerful in solving other kinds of nonlinear fractional differential equations. (C) 2017 Elsevier GmbH. All rights reserved.