- Turkish Journal of Mathematics and Computer Science
- Vol: 15 Issue: 1
- The Existence of Positive Solutions for the Caputo-Fabrizio Fractional Boundary Value Problems at Re...
The Existence of Positive Solutions for the Caputo-Fabrizio Fractional Boundary Value Problems at Resonance
Authors : Şuayip TOPRAKSEVEN
Pages : 71-78
Doi:10.47000/tjmcs.1190935
View : 15 | Download : 15
Publication Date : 2023-06-30
Article Type : Research Article
Abstract :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.Keywords : Fractional Caputo-Fabrizio differential equation, positive solution, resonance, necessary condition