CONFORMABLE FRACTIONAL DIFFERENTIAL EQUATIONS IN b-METRIC SPACES


Sad Abbas, Mouffak Benchohra

Abstract: In this article we investigate some existence results for functional and neutral conformable fractional di erential equations in b-metric spaces. Our results are based on the xed point theory and theGeraghty type contraction. Two illustrate examples are given in the last section.

MSC: 26A33

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DOI   10.56082/annalsarscimath.2022.1-2.58

abbasmsaid@yahoo.fr, said.abbas@univ-saida.dz, Department of Electronics, University of SadaDr. Moulay Tahar, P.O. Box 138, EN-Nasr, 20000 Sada, Algeria

benchohra@yahoo.com, Laboratory of Mathematics, Djillali Liabes University of Sidi Bel-Abbes, P.O. Box 89, Sidi Bel-Abbes 22000, Algeria


PUBLISHED in Annals Academy of Romanian Scientists Series on Mathematics and Its ApplicationVolume 14 no 1-2, 2022