Exact solutions for some fractional differential equations


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Sonmezoglu A.

Advances in Mathematical Physics, vol.2015, 2015 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 2015
  • Publication Date: 2015
  • Doi Number: 10.1155/2015/567842
  • Journal Name: Advances in Mathematical Physics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Yozgat Bozok University Affiliated: Yes

Abstract

© 2015 Abdullah Sonmezoglu.The extended Jacobi elliptic function expansion method is used for solving fractional differential equations in the sense of Jumarie's modified Riemann-Liouville derivative. By means of this approach, a few fractional differential equations are successfully solved. As a result, some new Jacobi elliptic function solutions including solitary wave solutions and trigonometric function solutions are established. The proposed method can also be applied to other fractional differential equations.