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Finite-Time Stability Analysis of Fractional Delay Systems

Author

Listed:
  • Ahmed M. Elshenhab

    (School of Mathematics, Harbin Institute of Technology, Harbin 150001, China
    Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt)

  • Xingtao Wang

    (School of Mathematics, Harbin Institute of Technology, Harbin 150001, China)

  • Clemente Cesarano

    (Section of Mathematics, International Telematic University Uninettuno, CorsoVittorio Emanuele II, 39, 00186 Roma, Italy)

  • Barakah Almarri

    (Department of Mathematical Sciences, College of Sciences, Princess Nourah Bint Abdulrahman University, Riyadh 11671, Saudi Arabia)

  • Osama Moaaz

    (Department of Mathematics, College of Science, Qassim University, Buraydah 51452, Saudi Arabia)

Abstract

Nonhomogeneous systems of fractional differential equations with pure delay are considered. As an application, the representation of solutions of these systems and their delayed Mittag-Leffler matrix functions are used to obtain the finite time stability results. Our results improve and extend the previous related results. Finally, to illustrate our theoretical results, we give an example.

Suggested Citation

  • Ahmed M. Elshenhab & Xingtao Wang & Clemente Cesarano & Barakah Almarri & Osama Moaaz, 2022. "Finite-Time Stability Analysis of Fractional Delay Systems," Mathematics, MDPI, vol. 10(11), pages 1-11, May.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:11:p:1883-:d:828695
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    References listed on IDEAS

    as
    1. Li, Mengmeng & Wang, JinRong, 2018. "Exploring delayed Mittag-Leffler type matrix functions to study finite time stability of fractional delay differential equations," Applied Mathematics and Computation, Elsevier, vol. 324(C), pages 254-265.
    2. Elshenhab, Ahmed M. & Wang, Xing Tao, 2021. "Representation of solutions of linear differential systems with pure delay and multiple delays with linear parts given by non-permutable matrices," Applied Mathematics and Computation, Elsevier, vol. 410(C).
    3. Ahmed M. Elshenhab & Xingtao Wang & Omar Bazighifan & Jan Awrejcewicz, 2022. "Finite-Time Stability Analysis of Linear Differential Systems with Pure Delay," Mathematics, MDPI, vol. 10(9), pages 1-10, April.
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    Cited by:

    1. Barakah Almarri & Xingtao Wang & Ahmed M. Elshenhab, 2022. "Controllability of Stochastic Delay Systems Driven by the Rosenblatt Process," Mathematics, MDPI, vol. 10(22), pages 1-20, November.
    2. Touria Karite & Adil Khazari & Delfim F. M. Torres, 2022. "Regional Controllability and Minimum Energy Control of Delayed Caputo Fractional-Order Linear Systems," Mathematics, MDPI, vol. 10(24), pages 1-16, December.

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