Qualitative Study on Solutions of Piecewise Nonlocal Implicit Fractional Differential Equations-Reference-Cited by-同舟云学术

Qualitative Study on Solutions of Piecewise Nonlocal Implicit Fractional Differential Equations

Published:2023-04-28 Issue: Volume:2023 Page:1-10
ISSN:2314-8888
Container-title:Journal of Function Spaces
language:en
Short-container-title:Journal of Function Spaces

Author:

Abdo Mohammed S.¹^ORCID,Idris Sahar Ahmed²^ORCID,Albalawi Wedad³^ORCID,Abdel-Aty Abdel-Haleem⁴^ORCID,Zakarya Mohammed⁵^ORCID,Mahmoud Emad E.⁶^ORCID

Affiliation:

1. Department of Mathematics, Hodeidah University, PO.Box. 3114, Al-Hudaydah, Yemen

2. Department of Industrial Engineering, Faculty of Engineering, King Khalid University, Abha, Saudi Arabia

3. Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia

4. Department of Physics, College of Sciences, University of Bisha, PO. Box 344, Bisha 61922, Saudi Arabia

5. Department of Mathematics, College of Science, King Khalid University, P.O. Box 9004, Abha 61413, Saudi Arabia

6. Department of Mathematics and Statistics, College of Science, Taif University, PO Box 11099, Taif 21944, Saudi Arabia

Abstract

In this paper, we investigate new types of nonlocal implicit problems involving piecewise Caputo fractional operators. The existence and uniqueness results are proved by using some fixed point theorems. Furthermore, we present analogous results involving piecewise Caputo-Fabrizio and Atangana–Baleanu fractional operators. The ensuring of the existence of solutions is shown by Ulam-Hyer’s stability. At last, two examples are given to show and approve our outcomes.

Funder

King Khalid University

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2023/2127600.pdf

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