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- Title
Qualitative Study on Solutions of Piecewise Nonlocal Implicit Fractional Differential Equations.
- Authors
Abdo, Mohammed S.; Idris, Sahar Ahmed; Albalawi, Wedad; Abdel-Aty, Abdel-Haleem; Zakarya, Mohammed; Mahmoud, Emad E.
- 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.
- Subjects
QUALITATIVE research; FRACTIONAL differential equations
- Publication
Journal of Function Spaces, 2023, p1
- ISSN
2314-8896
- Publication type
Article
- DOI
10.1155/2023/2127600