# Existence results for a generalized fractional boundary value problem in $b$-metric space

@inproceedings{Haddouchi2021ExistenceRF, title={Existence results for a generalized fractional boundary value problem in \$b\$-metric space}, author={Faouzi Haddouchi}, year={2021} }

This paper is concerned with a class of nonlinear boundary value problem involving fractional derivative in the φ-Riemann-Liouville sense. Some Properties of the Green’s function for this problem are mentioned. By means of the Banach contraction principle in b-metric space and the technique of the γ–ψ Geraghty contractive maps, existence and uniqueness results are obtained. Two examples are given to support the theoretical results.

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*Correspondence: hojat.afshari@yahoo.com 1Department of Mathematics, Basic Science Faculty, University of Bonab, Bonab, Iran Full list of author information is available at the end of the article…