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Existence and Attractivity for Fractional Evolution Equations

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  • Yong Zhou
  • Jia Wei He
  • Bashir Ahmad
  • Ahmed Alsaedi

Abstract

We study the existence and attractivity of solutions for fractional evolution equations with Riemann-Liouville fractional derivative. We establish sufficient conditions for the global attractivity of mild solutions for the Cauchy problems in the case that semigroup is compact.

Suggested Citation

  • Yong Zhou & Jia Wei He & Bashir Ahmad & Ahmed Alsaedi, 2018. "Existence and Attractivity for Fractional Evolution Equations," Discrete Dynamics in Nature and Society, Hindawi, vol. 2018, pages 1-9, January.
    • Handle: RePEc:hin:jnddns:1070713
    DOI: 10.1155/2018/1070713
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    References listed on IDEAS

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    1. Wang, JinRong & Fĕckan, Michal & Zhou, Yong, 2017. "Center stable manifold for planar fractional damped equations," Applied Mathematics and Computation, Elsevier, vol. 296(C), pages 257-269.
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    Cited by:

    1. Jia Wei He & Yong Liang & Bashir Ahmad & Yong Zhou, 2019. "Nonlocal Fractional Evolution Inclusions of Order α ∈ (1,2)," Mathematics, MDPI, vol. 7(2), pages 1-17, February.

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