On discrete fractional solutions of non-Fuchsian differential equations

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Yilmazer R., Inc M., BAYRAM M.

Mathematics, cilt.6, sa.12, 2018 (SCI-Expanded, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 6 Sayı: 12
  • Basım Tarihi: 2018
  • Doi Numarası: 10.3390/math6120308
  • Dergi Adı: Mathematics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: Discrete fractional calculus, Fractional nabla operator, Non-Fuchsian equations
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • İstanbul Gelişim Üniversitesi Adresli: Evet

Özet

© 2018 by the authors.In this article, we obtain new fractional solutions of the general class of non-Fuchsian differential equations by using discrete fractional nabla operator ∇η(0 < η < 1). This operator is applied to homogeneous and nonhomogeneous linear ordinary differential equations. Thus, we obtain new solutions in fractional forms by a newly developed method.