PERIODIC AND HYPERBOLIC SOLUTIONS OF NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS

Bekir A., GÜNER Ö., Aksoy E.

APPLIED AND COMPUTATIONAL MATHEMATICS, cilt.15, sa.1, ss.88-95, 2016 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 15 Sayı: 1
  • Basım Tarihi: 2016
  • Dergi Adı: APPLIED AND COMPUTATIONAL MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.88-95
  • Eskişehir Osmangazi Üniversitesi Adresli: Evet

Özet

In this paper, we tried to evaluate the fractional derivatives by using the functional variable method. But first we proposed a fractional complex transform to convert fractional differential equations into ordinary differential equations. As a result, periodic and hyperbolic solutions are obtained. This method demonstrate power, reliability and efficiency.