Analyzing the Stability of Caputo Fractional Difference Equations with Variable Orders

Shaher Momani; Iqbal M. Batiha; Noureddine Djenina; Adel Ouannas

doi:10.18576/pfda/110110

Analyzing the Stability of Caputo Fractional Difference Equations with Variable Orders

Shaher Momani
, Iqbal M. Batiha
, Noureddine Djenina
, Adel Ouannas

Nonlinear Dynamic Research Centre (NDRC)

University of Jordan
Al-Zaytoonah University of Jordan
University of Oum El Bouaghi

Research output: Contribution to journal › Article › peer-review

16 Scopus citations

Abstract

This research aims to explore the complex stability of Fractional Variable Order Discrete Time Systems by introducing new stability criteria. To achieve this, we utilize the properties of Volterra convolution-type systems and the Z-transform methodology. We validate these criteria through practical numerical experiments, showing their usefulness in real-world engineering and scientific applications.

Original language	English
Pages (from-to)	139-151
Number of pages	13
Journal	Progress in Fractional Differentiation and Applications
Volume	11
Issue number	1
DOIs	https://doi.org/10.18576/pfda/110110
State	Published - 2025

Keywords

Fractional order derivatives
discrete-time system
stability
variable orders

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10.18576/pfda/110110

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abstract = "This research aims to explore the complex stability of Fractional Variable Order Discrete Time Systems by introducing new stability criteria. To achieve this, we utilize the properties of Volterra convolution-type systems and the Z-transform methodology. We validate these criteria through practical numerical experiments, showing their usefulness in real-world engineering and scientific applications.",

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PY - 2025

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AB - This research aims to explore the complex stability of Fractional Variable Order Discrete Time Systems by introducing new stability criteria. To achieve this, we utilize the properties of Volterra convolution-type systems and the Z-transform methodology. We validate these criteria through practical numerical experiments, showing their usefulness in real-world engineering and scientific applications.

KW - Fractional order derivatives

KW - discrete-time system

KW - stability

KW - variable orders

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Analyzing the Stability of Caputo Fractional Difference Equations with Variable Orders

Abstract

Keywords

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