Linearized asymptotic stability for nabla Riemann-Liouville fractional difference equation

• Autorzy: Anh Pham The , Czornik Adam , Niezabitowski Michał

Identyfikatory

DOI

10.24425/acs.2024.149672

• Języki publikacji: EN

Abstrakty

EN

In this paper, we present a theorem about stability of nonlinear fractional difference equation with Riemann-Liouvile difference operator. The result is a version of classical theorem on linear approximation and to derive them, we prove the variation of constants formula for nabla Riemann-Liouville fractional difference equations. We also present some results concerning the existence and uniqueness of the equation under consideration.

Słowa kluczowe

EN

stability of nonlinear fractional difference equation; Riemann-Liouville difference operator; nabla Riemann-Liouville fractional difference equations

• Wydawca: Polish Academy of Sciences, Committee of Automatic Control and Robotics
• Czasopismo: Archives of Control Sciences
• Rocznik: 2024
• Tom: Vol. 34, No. 3
• Strony: 569--588
• Opis fizyczny: Bibliogr. 60 poz., wzory

Twórcy

autor

Anh Pham The

• Center for Applied Mathematics and Informatics, Le Quy Don Technical University, 236 Hoang Quoc Viet, Hanoi, Vietnam

• https://orcid.org/0000-0002-4622-649X

autor

Czornik Adam

• Department of Automatic Control and Robotics, Silesian University of Technology, 44-100 Gliwice, Poland

• https://orcid.org/0000-0003-2492-4155

autor

Niezabitowski Michał

• Department of Automatic Control and Robotics, Silesian University of Technology, 44-100 Gliwice, Poland

• https://orcid.org/0000-0003-4553-5351

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Uwagi

The work of Pham The Anh is supported by Vietnam National Foundation for Science and Technology Development under grant number 101.02-2023.32. The research of the second and third authors were financed by the grant from Silesian University of Technology - subsidy for maintaining and developing the research potential in 2024.