Analysis study of hybrid Caputo-Atangana-Baleanu fractional pantograph system under integral boundary conditions
This manuscript investigates the qualitative analysis of a new hybrid fractional pantograph system involving AtanganaBaleanu-Caputo derivatives, complemented by hybrid integral boundary conditions. Dhage’s fixed point theorem is employed to investigate the existence theorem of the solutions, while uniqueness is proven by using Perov’s approach and Lipschitz’s matrix. The Hyers-Ulam (HU) stability is also demonstrated using the Lipschitz’s matrix and techniques from nonlinear analysis. Finally, illustrative example is enhanced to examine the effectiveness of the obtained results.
Authors
- Imed Kédim (ORCID: https://orcid.org/0000-0002-4791-9730)
- Sabri T. M. Thabet (ORCID: https://orcid.org/0000-0002-4568-9732)
- Thabet Abdeljawad (ORCID: https://orcid.org/0000-0002-8889-3768)
- Mohammad Esmael Samei (ORCID: https://orcid.org/0000-0002-5450-3127)
Institutions
- Prince Sultan University (SA)
- Prince Sattam Bin Abdulaziz University (SA)
- Bu-Ali Sina University (IR)
- China Medical University (TW)
- Korea University (KR)
- Sefako Makgatho Health Sciences University (ZA)
- Kyung Hee University (KR)
- Saveetha University (IN)
Publication Details
- Journal
- Mathematical Modelling and Analysis
- Published
- 2025-04-24
- DOI
- https://doi.org/10.3846/mma.2025.22328
- Citations
- 7
- Primary Topic
- Fractional Differential Equations Solutions
- Type
- article
- Field-Weighted Citation Impact
- 9.58
Funders
- Prince Sattam bin Abdulaziz University
- Prince Sultan University