Nonlocal Fractional Evolution Inclusions of Order α ∈ (1,2)
Faculty of Mathematics and Computational Science, Xiangtan University, Xiangtan 411105, China
Faculty of Information Technology, Macau University of Science and Technology, Macau 999078, China
Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia
Author to whom correspondence should be addressed.
Received: 26 January 2019 / Revised: 13 February 2019 / Accepted: 14 February 2019 / Published: 24 February 2019
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
. 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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MDPI and ACS Style
He, J.W.; Liang, Y.; Ahmad, B.; Zhou, Y. Nonlocal Fractional Evolution Inclusions of Order α ∈ (1,2). Mathematics 2019, 7, 209.
He JW, Liang Y, Ahmad B, Zhou Y. Nonlocal Fractional Evolution Inclusions of Order α ∈ (1,2). Mathematics. 2019; 7(2):209.
He, Jia W.; Liang, Yong; Ahmad, Bashir; Zhou, Yong. 2019. "Nonlocal Fractional Evolution Inclusions of Order α ∈ (1,2)." Mathematics 7, no. 2: 209.
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