A discussion on the existence of positive solutions of the boundary value problems via ψ -Hilfer fractional derivative on b -metric spaces

[摘要] In this paper, we investigate the existence of positive solutions for the new class of boundary value problems via ψ-Hilfer fractional differential equations. For our purpose, we use the$\alpha -\psi $ Geraghty-type contraction in the framework of the b-metric space. We give an example illustrating the validity of the proved results.

[学科分类] 航空航天科学

[关键词] ψ -Hilfer fractional derivative;Fixed point;Positive solution;Geraghty-type contraction