Controllability of Differential Systems with the General Conformable Derivative

Azouz, Ferrag; Boucenna, Djalal; Makhlouf, Abdellatif Ben; Mchiri, Lassaad; Benchaabane, Abbes

doi:10.1155/2021/2817092

Cited by 6 publications

(3 citation statements)

References 23 publications

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“…In this section, we introduce and define some key terms and concepts that are essential for understanding the subsequent discussions and analyses presented in this paper [4,5,7,23,24].…”

Section: Basic Definitions and Toolsmentioning

confidence: 99%

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Stability Results for the Darboux Problem of Conformable Partial Differential Equations

Ghania,

Mchiri,

Rhaima

et al. 2023

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In this paper, we investigate the Darboux problem of conformable partial differential equations (DPCDEs) using fixed point theory. We focus on the existence and Ulam–Hyers–Rassias stability (UHRS) of the solutions to the problem, which requires finding solutions to nonlinear partial differential equations that satisfy certain boundary conditions. Using fixed point theory, we establish the existence and uniqueness of solutions to the DPCDEs. We then explore the UHRS of the solutions, which measures the sensitivity of the solutions to small perturbations in the equations. We provide three illustrative examples to demonstrate the effectiveness of our approach.

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“…In this section, we introduce and define some key terms and concepts that are essential for understanding the subsequent discussions and analyses presented in this paper [4,5,7,23,24].…”

Section: Basic Definitions and Toolsmentioning

confidence: 99%

“…For instance, ref. [5] delved into the exploration of controllability in a class of conformable differential systems, shedding light on the efficient manipulation of these systems. Meanwhile, ref.…”

Section: Introductionmentioning

confidence: 99%