Stability Results for Nonlinear Fractional Differential Equations with Incommensurate Orders

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

doi:10.1016/j.ifacol.2024.08.204

Stability Results for Nonlinear Fractional Differential Equations with Incommensurate Orders

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

Nonlinear Dynamic Research Centre (NDRC)

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

Research output: Contribution to journal › Conference article › peer-review

17 Scopus citations

Abstract

This paper aims to establish some novel conditions for revealing the stability of nonlinear incommensurate fractional-order systems formulated using Caputo differential operator. This will be accomplished through introducing satisfactory proofs for these conditions with the help of using Lyapunov function method. All theoretical findings will be verified numerically by observing the wished stability is occurring on the systems at hand.

Original language	English
Pages (from-to)	286-290
Number of pages	5
Journal	IFAC-PapersOnLine
Volume	58
Issue number	12
DOIs	https://doi.org/10.1016/j.ifacol.2024.08.204
State	Published - 1 Jul 2024
Event	12th IFAC Conference on Fractional Differentiation and its Applications, ICFDA 2024 - Bordeaux, France Duration: 9 Jul 2024 → 12 Jul 2024

Keywords

Caputo differential operator
Incommensurate order
Lyapunov function

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10.1016/j.ifacol.2024.08.204

Cite this

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title = "Stability Results for Nonlinear Fractional Differential Equations with Incommensurate Orders",

abstract = "This paper aims to establish some novel conditions for revealing the stability of nonlinear incommensurate fractional-order systems formulated using Caputo differential operator. This will be accomplished through introducing satisfactory proofs for these conditions with the help of using Lyapunov function method. All theoretical findings will be verified numerically by observing the wished stability is occurring on the systems at hand.",

keywords = "Caputo differential operator, Incommensurate order, Lyapunov function",

author = "Shaher Momani and Noureddine Djenina and Adel Ouannas and Batiha, \{Iqbal M.\}",

note = "Publisher Copyright: {\textcopyright} 2024 The Authors. This is an open access article under the CC BY-NC-ND license.; 12th IFAC Conference on Fractional Differentiation and its Applications, ICFDA 2024 ; Conference date: 09-07-2024 Through 12-07-2024",

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AU - Momani, Shaher

AU - Djenina, Noureddine

AU - Ouannas, Adel

AU - Batiha, Iqbal M.

PY - 2024/7/1

Y1 - 2024/7/1

N2 - This paper aims to establish some novel conditions for revealing the stability of nonlinear incommensurate fractional-order systems formulated using Caputo differential operator. This will be accomplished through introducing satisfactory proofs for these conditions with the help of using Lyapunov function method. All theoretical findings will be verified numerically by observing the wished stability is occurring on the systems at hand.

AB - This paper aims to establish some novel conditions for revealing the stability of nonlinear incommensurate fractional-order systems formulated using Caputo differential operator. This will be accomplished through introducing satisfactory proofs for these conditions with the help of using Lyapunov function method. All theoretical findings will be verified numerically by observing the wished stability is occurring on the systems at hand.

KW - Caputo differential operator

KW - Incommensurate order

KW - Lyapunov function

UR - https://www.scopus.com/pages/publications/85203092376

U2 - 10.1016/j.ifacol.2024.08.204

DO - 10.1016/j.ifacol.2024.08.204

M3 - Conference article

AN - SCOPUS:85203092376

SN - 2405-8971

VL - 58

SP - 286

EP - 290

JO - IFAC-PapersOnLine

JF - IFAC-PapersOnLine

IS - 12

T2 - 12th IFAC Conference on Fractional Differentiation and its Applications, ICFDA 2024

Y2 - 9 July 2024 through 12 July 2024

ER -

Stability Results for Nonlinear Fractional Differential Equations with Incommensurate Orders

Abstract

Keywords

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