The Existence of Positive Solutions for the Caputo-Fabrizio Fractional Boundary Value Problems at Resonance
Turkish Journal of Mathematics and Computer Science, cilt.15, sa.1, ss.71-78, 2023 (Scopus, TRDizin)
- 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.