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StabilIty of Scalar Nonlinear Fractional Differential Equations with Linearly Dominated Delay

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Abstract

In this paper, we study the asymptotic behavior of solutions to a scalar fractional delay differential equations around the equilibrium points. More precise, we provide conditions on the coefficients under which a linear fractional delay equation is asymptotically stable and show that the asymptotic stability of the trivial solution is preserved under a small nonlinear Lipschitz perturbation of the fractional delay differential equation.

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Authors and Affiliations

  1. Institute of Mathematics Vietnam Academy of Science and Technology, 18 Hoang Quoc Viet, Hanoi, 10307, Vietnam

    Hoang The Tuan

  2. Center for Dynamics, Faculty of Mathematics, TU Dresden, 01069, Dresden, Germany

    Stefan Siegmund

Authors
  1. Hoang The Tuan
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  2. Stefan Siegmund
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Correspondence to Hoang The Tuan.

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Tuan, H.T., Siegmund, S. StabilIty of Scalar Nonlinear Fractional Differential Equations with Linearly Dominated Delay. Fract Calc Appl Anal 23, 250–267 (2020). https://doi.org/10.1515/fca-2020-0010

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  • DOI: https://doi.org/10.1515/fca-2020-0010

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