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Exploring Solutions for Fractional Hybrid Differential Systems Involving Riemann–Liouville Differential Operator

Habibulla AkhadkulovTashkent State University of Economics, 100003, Tashkent, UzbekistanFahad AlsharariDepartment of Mathematics, College of Science, Jouf University, 72311, Sakaka, Saudi ArabiaU. A. NazarovSamarkand State University, 140104, Samarkand, Uzbekistan

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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.

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