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On Stability of Nonautonomous Perturbed Semilinear Fractional Differential Systems of Order

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  • Mohammed M. Matar
  • Esmail S. Abu Skhail

Abstract

We study the Mittag-Leffler and class-K function stability of fractional differential equations with order . We also investigate the comparison between two systems with Caputo and Riemann-Liouville derivatives. Two examples related to fractional-order Hopfield neural networks with constant external inputs and a marine protected area model are introduced to illustrate the applicability of stability results.

Suggested Citation

  • Mohammed M. Matar & Esmail S. Abu Skhail, 2018. "On Stability of Nonautonomous Perturbed Semilinear Fractional Differential Systems of Order," Journal of Mathematics, Hindawi, vol. 2018, pages 1-10, August.
    • Handle: RePEc:hin:jjmath:1723481
    DOI: 10.1155/2018/1723481
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    Cited by:

    1. Shahram Rezapour & Chernet Tuge Deressa & Azhar Hussain & Sina Etemad & Reny George & Bashir Ahmad, 2022. "A Theoretical Analysis of a Fractional Multi-Dimensional System of Boundary Value Problems on the Methylpropane Graph via Fixed Point Technique," Mathematics, MDPI, vol. 10(4), pages 1-26, February.
    2. Sina Etemad & Mohammed M. Matar & Maria Alessandra Ragusa & Shahram Rezapour, 2021. "Tripled Fixed Points and Existence Study to a Tripled Impulsive Fractional Differential System via Measures of Noncompactness," Mathematics, MDPI, vol. 10(1), pages 1-17, December.
    3. Hanaa Zitane & Ali Boutoulout & Delfim F. M. Torres, 2020. "The Stability and Stabilization of Infinite Dimensional Caputo-Time Fractional Differential Linear Systems," Mathematics, MDPI, vol. 8(3), pages 1-14, March.

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