array(2) { ["lab"]=> string(4) "1409" ["publication"]=> string(5) "12655" } Nonlocal Fractional Evolution Inclusions of Order oe (1, 2) - Liang Yong | LabXing

Nonlocal Fractional Evolution Inclusions of Order oe (1, 2)

2020
期刊 Fractional Differential Equations, Inclusions and Inequalities with Applications
Accepted: 14 February 2019; Published: 24 February 2019 Abstract: This paper studies the existence of mild solutions and the compactness of a set of mild solutions to a nonlocal problem of fractional evolution inclusions of order α∈(1, 2). The main tools of our study include the concepts of fractional calculus, multivalued analysis, the cosine family, method of measure of noncompactness, and fixed-point theorem. As an application, we apply the obtained results to a control problem.

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