Exploring Solutions for Fractional Hybrid Differential Systems Involving Riemann–Liouville Differential Operator
In this paper, we investigate the existence and uniqueness of solutions for a system of fractional hybrid differential equations involving the Riemann–Liouville differential operator of order $$\alpha\geq 1.$$ We prove the existence and uniqueness of solutions for this system by using the methods of fixed-point theory. Our result extends the main findings of [1] and [2]. In addition, we provide an illustrative example to demonstrate the applicability of our result and we conduct a comparative analysis between the findings of [2] and our results.
Authors
- Fahad Alsharari (ORCID: https://orcid.org/0000-0003-3818-3597)
- Habibulla Akhadkulov (ORCID: https://orcid.org/0000-0002-0377-7486)
- U. A. Nazarov
Institutions
- Samarkand State University named after Sharof Rashidov (UZ)
- Jouf University (SA)
- Tashkent State University of Economics (UZ)
- Northern University of Malaysia (MY)
Publication Details
- Journal
- Lobachevskii Journal of Mathematics
- Published
- 2024-11-01
- DOI
- https://doi.org/10.1134/s1995080224606945
- Primary Topic
- Fractional Differential Equations Solutions
- Type
- article
- Field-Weighted Citation Impact
- 0.00