Finite-Time Stability of Fractional-Order Damped Integro-Differential Systems with Impulsive Effects and Multiple Time Delays

This study investigates the finite-time stability of damped fractional-order integro-differential systems incorporating multiple time delays and impulsive effects. By applying the Gronwall inequality (GI) approach, the main stability criteria are established. Finally, two illustrative examples are presented to verify the effectiveness of the proposed method and confirm its ability to guarantee the finite-time stability of the considered systems.

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Publication Details

Journal
Mathematics
Published
2026-10-13
DOI
https://doi.org/10.3390/math14203724
Primary Topic
Nonlinear Differential Equations Analysis
Type
article
Field-Weighted Citation Impact
0.00

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article

Finite-Time Stability of Fractional-Order Damped Integro-Differential Systems with Impulsive Effects and Multiple Time Delays

Yong-Ki Ma, G. Arthi, S. Maheswari
Mathematics
Nonlinear Differential Equations Analysis
article

Finite-Time Stability of Fractional-Order Damped Integro-Differential Systems with Impulsive Effects and Multiple Time Delays

Yong-Ki Ma, G. Arthi, S. Maheswari
article en

Abstract

This study investigates the finite-time stability of damped fractional-order integro-differential systems incorporating multiple time delays and impulsive effects. By applying the Gronwall inequality (GI) approach, the main stability criteria are established. Finally, two illustrative examples are presented to verify the effectiveness of the proposed method and confirm its ability to guarantee the finite-time stability of the considered systems.

MathematicsVol. 14(20)
Kongju National University (KR), Hindustan Institute of Technology and Science (IN)
National Research Foundation of Korea, Science and Engineering Research Board
Openalex Percentile: Top 7%
Nonlinear Differential Equations Analysis
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