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

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