Existence results for a generalized fractional boundary value problem in $b$metric space
Abstract
This paper is concerned with a class of nonlinear boundary value problem involving fractional derivative in the $\varphi$RiemannLiouville 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 $\gamma$$\psi$ Geraghty contractive maps, existence and uniqueness results are obtained. Two examples are given to support the theoretical results.
 Publication:

arXiv eprints
 Pub Date:
 May 2021
 arXiv:
 arXiv:2106.00045
 Bibcode:
 2021arXiv210600045H
 Keywords:

 Mathematics  Classical Analysis and ODEs;
 34A08;
 34A12;
 47H10;
 34B15
 EPrint:
 12 pages