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

Abstract

Abstract 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 $ α − ψ Geraghty-type contraction in the framework of the b-metric space. We give an example illustrating the validity of the proved results.