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

Jia Wei He, Yong Liang, Bashir Ahmad and Yong Zhou
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Jia Wei He: Faculty of Mathematics and Computational Science, Xiangtan University, Xiangtan 411105, China
Yong Liang: Faculty of Information Technology, Macau University of Science and Technology, Macau 999078, China
Bashir Ahmad: Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia
Yong Zhou: Faculty of Mathematics and Computational Science, Xiangtan University, Xiangtan 411105, China

Mathematics, 2019, vol. 7, issue 2, 1-17

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.

Keywords: fractional evolution inclusions; mild solutions; condensing multivalued map (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (5)

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