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Peer-reviewedCC BY 4.0Mathematics

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

  • G. Arthi1
  • S. Maheswari1,2
  • Yong-Ki Ma3
  1. 1Department of Mathematics, PSGR Krishnammal College for Women, Coimbatore 641004, India
  2. 2Department of Mathematics, Hindusthan College of Engineering and Technology, Coimbatore 641032, India
  3. 3Department of Applied Mathematics, Kongju National University, Gongju 32588, Republic of Korea
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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.

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Cite

BibTeXRIS
BibTeX
@article{arthi2026finitetime,
  title = {{Finite-Time Stability of Fractional-Order Damped Integro-Differential Systems with Impulsive Effects and Multiple Time Delays}},
  author = {G. Arthi and S. Maheswari and Yong-Ki Ma},
  journal = {Mathematics},
  year = {2026},
  month = oct,
  doi = {10.3390/math14203724},
  url = {https://www.mdpi.com/2227-7390/14/20/3724},
  note = {CC BY 4.0},
}
RIS
TY  - JOUR
TI  - Finite-Time Stability of Fractional-Order Damped Integro-Differential Systems with Impulsive Effects and Multiple Time Delays
AU  - G. Arthi
AU  - S. Maheswari
AU  - Yong-Ki Ma
PY  - 2026
DA  - 2026/10/13
JO  - Mathematics
DO  - 10.3390/math14203724
UR  - https://www.mdpi.com/2227-7390/14/20/3724
AB  - 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.
SN  - 2227-7390
ER  -