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.

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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
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article

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

Fahad Alsharari, Habibulla Akhadkulov, U. A. Nazarov
Lobachevskii Journal of Mathematics
Fractional Differential Equations Solutions
article

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

Fahad Alsharari, Habibulla Akhadkulov, U. A. Nazarov
article en

Abstract

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.

Lobachevskii Journal of MathematicsVol. 45(11)
Samarkand State University named after Sharof Rashidov (UZ), Jouf University (SA), Tashkent State University of Economics (UZ), Northern University of Malaysia (MY)
Openalex Percentile: Top 72%
Fractional Differential Equations Solutions
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Exploring Solutions for Fractional Hybrid Differential Systems Involving Riemann–Liouville Differential Operator — Fahad Alsharari, Habibulla Akhadkulov, et al. · Lobachevskii Journal of Mathematics (2024) | TGRS Research Map | TGRS