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

Habibulla AkhadkulovSchool of Quantitative Sciences, University Utara Malaysia, CAS 06010, UUM Sintok, Kedah Darul Aman, MalaysiaFahad AlsharariDepartment of Mathematics, College of Science, Jouf University, 72311, Sakaka, Saudi ArabiaU. A. NazarovSamarkand State University, 140104, Samarkand, Uzbekistan

Lobachevskii Journal of Mathematicsjournal2024en

ABI

Annotatsiya

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.

Mavzular

Fractional Differential Equations Solutions Nonlinear Differential Equations Analysis Differential Equations and Boundary Problems

Identifikatorlar

DOI: 10.1134/s1995080224606945

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