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AttRactivity for Fractional Evolution Equations with Almost Sectorial Operators

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Abstract

In this paper, we initiate the question of the attractivity of solutions for fractional evolution equations with almost sectorial operators. We establish sufficient conditions for the existence of globally attractive solutions for the Cauchy problems in cases that semigroup is compact as well as noncompact. Our results essentially reveal certain characteristics of solutions for fractional evolution equations, which are not possessed by integer order evolution equations.

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Authors and Affiliations

  1. Faculty of Mathematics and Computational Science, Xiangtan University, Hunan, 411105, P.R. China

    Yong Zhou

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  1. Yong Zhou
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Correspondence to Yong Zhou.

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Zhou, Y. AttRactivity for Fractional Evolution Equations with Almost Sectorial Operators. FCAA 21, 786–800 (2018). https://doi.org/10.1515/fca-2018-0041

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  • DOI: https://doi.org/10.1515/fca-2018-0041

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