The existence of positive solutions for the Caputo-Fabrizio fractional boundary value problems at resonance

doi:10.47000/tjmcs.1190935

DOI: 10.47000/tjmcs.1190935 ISSN: 2148-1830

The existence of positive solutions for the Caputo-Fabrizio fractional boundary value problems at resonance

Şuayip TOPRAKSEVEN

General Medicine

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

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