On Caputo tempered implicit fractional differential equations in <i>b</i>-metric spaces-Reference-Cited by-同舟云学术

On Caputo tempered implicit fractional differential equations in b-metric spaces

Published:2023-02-28 Issue:2 Volume:43 Page:129-139
ISSN:0174-4747
Container-title:Analysis
language:en
Short-container-title:

Author:

Salim Abdelkrim¹^ORCID,Krim Salim²,Lazreg Jamal Eddine²,Benchohra Mouffak²

Affiliation:

1. Laboratory of Mathematics , Djillali Liabes University of Sidi Bel-Abbes , P.O. Box 89 , Sidi Bel-Abbes 22000 ; and Faculty of Technology, Hassiba Benbouali University of Chlef, P.O. Box 151 Chlef 02000 , Algeria

2. Laboratory of Mathematics , Djillali Liabes University of Sidi Bel-Abbes , P.O. Box 89 , Sidi Bel-Abbes 22000 , Algeria

Abstract

Abstract This paper deals with the existence and uniqueness results for a class of problems for nonlinear Caputo tempered implicit fractional differential equations in b-metric spaces with initial and nonlocal conditions. The arguments are based on some fixed point theorems. Furthermore, two illustrations are presented to demonstrate the plausibility of our results.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Numerical Analysis,Analysis

Link

https://www.degruyter.com/document/doi/10.1515/anly-2022-1114/pdf

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