On A Coupled System of Hybrid Fractional-order Differential Equations in Banach Algebras

El-Sayed, A. M. A.; Issa, Sh. M. Al; Mawed, N. M.

doi:10.37622/adsa/16.1.2021.91-112

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2023

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“…In their work published in 2021, ElSayed et al [37] presented the necessary conditions that ensure the existence of solutions for the following specific initial value problem involving coupled hybrid fractional-order differential equations:…”

Section: Introductionmentioning

confidence: 99%

Analysis of Implicit Solutions for a Coupled System of Hybrid Fractional Order Differential Equations with Hybrid Integral Boundary Conditions in Banach Algebras

Awad,

Alkhezi

2023

Symmetry

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This paper investigates the existence and uniqueness of implicit solutions in a coupled symmetry system of hybrid fractional order differential equations, along with hybrid integral boundary conditions in Banach Algebras. The methodology centers on a hybrid fixed-point theorem that involves mixed Lipschitz and Carathéodory conditions, serving to establish the existence of solutions. Moreover, it derives sufficient conditions for solution uniqueness and establishes the Hyers–Ulam types of solution stability. This study contributes valuable insights into complex hybrid fractional order systems and their practical implications.

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Section: Introductionmentioning

confidence: 99%