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

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Turkish Journal of Mathematics and Computer Science
Volume: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 : 58 | Download : 23

Publication Date : 2023-06-30

Article Type : Research Paper

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

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