Study of a Coupled Ψ–Liouville–Riemann Fractional Differential System Characterized by Mixed Boundary Conditions
Abstract
:1. Introduction
2. Preliminary Findings and Essential Tools
- The mapping G has a fixed point in , or
- There exists and such that .
- for all ,
- is compact and continuous,
- is a contraction.
- 1.
- From (17), we obtain .
- 2.
- For the second condition
- 3.
- Similarly, we obtain
3. Results of Existence and Uniqueness
4. Illustrative Examples
5. Conclusions and Perspectives
Author Contributions
Funding
Data Availability Statement
Acknowledgments
Conflicts of Interest
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Tellab, B.; Amara, A.; Mezabia, M.E.-H.; Zennir, K.; Alkhalifa, L. Study of a Coupled Ψ–Liouville–Riemann Fractional Differential System Characterized by Mixed Boundary Conditions. Fractal Fract. 2024, 8, 510. https://doi.org/10.3390/fractalfract8090510
Tellab B, Amara A, Mezabia ME-H, Zennir K, Alkhalifa L. Study of a Coupled Ψ–Liouville–Riemann Fractional Differential System Characterized by Mixed Boundary Conditions. Fractal and Fractional. 2024; 8(9):510. https://doi.org/10.3390/fractalfract8090510
Chicago/Turabian StyleTellab, Brahim, Abdelkader Amara, Mohammed El-Hadi Mezabia, Khaled Zennir, and Loay Alkhalifa. 2024. "Study of a Coupled Ψ–Liouville–Riemann Fractional Differential System Characterized by Mixed Boundary Conditions" Fractal and Fractional 8, no. 9: 510. https://doi.org/10.3390/fractalfract8090510