The Existence of Positive Solutions for the Caputo-Fabrizio Fractional Boundary Value Problems at Resonance

Toprakseven Ş.

Turkish Journal of Mathematics and Computer Science, cilt.15, sa.1, ss.71-78, 2023 (Scopus, TRDizin) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 15 Sayı: 1
  • Basım Tarihi: 2023
  • Doi Numarası: 10.47000/tjmcs.1190935
  • Dergi Adı: Turkish Journal of Mathematics and Computer Science
  • Derginin Tarandığı İndeksler: Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.71-78
  • Anahtar Kelimeler: Fractional Caputo-Fabrizio differential equation, necessary condition, positive solution, resonance
  • Yozgat Bozok Üniversitesi Adresli: Evet

Özet

This paper deals with a class of nonlinear fractional boundary value problems at resonance with Caputo-Fabrizio fractional derivative. We establish some new necessary conditions for the existence of positive solutions for the fractional boundary value problems at resonance by using the Leggett-Williams norm-type theorem for coincidences due to O’ Regan and Zima. Some examples are constructed to support our results.