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Existence of Mild Solutions for a Class of Hilfer Fractional Evolution Equations with Nonlocal Conditions

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Abstract

In this paper, we consider a class of evolution equations with Hilfer fractional derivative. By employing the fixed point theorem and the noncompact measure method, we establish a number of new criteria to guarantee the existence and uniqueness of mild solutions when the associated semigroup is compact or not.

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Authors and Affiliations

  1. School of Mathematics, Sun Yat-sen University, Guangzhou, 510275, China

    Min Yang & Qiru Wang

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  1. Min Yang
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  2. Qiru Wang
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Correspondence to Min Yang.

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Yang, M., Wang, Q. Existence of Mild Solutions for a Class of Hilfer Fractional Evolution Equations with Nonlocal Conditions. FCAA 20, 679–705 (2017). https://doi.org/10.1515/fca-2017-0036

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  • DOI: https://doi.org/10.1515/fca-2017-0036

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