Terminal Value Problem for Implicit Katugampola Fractional Differential Equations in b -Metric Spaces-Reference-Cited by-同舟云学术

Terminal Value Problem for Implicit Katugampola Fractional Differential Equations in b -Metric Spaces

Published:2021-04-30 Issue: Volume:2021 Page:1-7
ISSN:2314-8888
Container-title:Journal of Function Spaces
language:en
Short-container-title:Journal of Function Spaces

Author:

Krim Salim¹,Abbas Saïd¹,Benchohra Mouffak²,Karapinar Erdal³⁴⁵^ORCID

Affiliation:

1. Laboratory of Mathematics, University of Saïda–Dr. Moulay Tahar, P.O. Box 138, EN-Nasr, 20000 Saïda, Algeria

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

3. Division of Applied Mathematics, Thu Dau Mot University, Binh Duong Province, Vietnam

4. Department of Mathematics, Cankaya University, 06790 Etimesgut, Ankara, Turkey

5. Department of Medical Research, China Medical University Hospital, China Medical University, 40402 Taichung, Taiwan

Abstract

This manuscript deals with a class of Katugampola implicit fractional differential equations in

b

-metric spaces. The results are based on the

α - φ

-Geraghty type contraction and the fixed point theory. We express an illustrative example.

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2021/5535178.pdf

Reference30 articles.

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4. Initial value problem for nonlinear implicit fractional differential equations with Katugampola derivative;Y. Arioua;Applied Mathematics E - Notes,2019

5. Implicit Fractional Differential and Integral Equations

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