Next Article in Journal
More Results on the Domination Number of Cartesian Product of Two Directed Cycles
Next Article in Special Issue
On Ulam Stability and Multiplicity Results to a Nonlinear Coupled System with Integral Boundary Conditions
Previous Article in Journal
Evaluation of the Impact of Strategic Offers on the Financial and Strategic Health of the Company—A Soft System Dynamics Approach
Article Menu
Issue 2 (February) cover image

Export Article

Open AccessArticle
Mathematics 2019, 7(2), 209; https://doi.org/10.3390/math7020209

Nonlocal Fractional Evolution Inclusions of Order α ∈ (1,2)

1
Faculty of Mathematics and Computational Science, Xiangtan University, Xiangtan 411105, China
2
Faculty of Information Technology, Macau University of Science and Technology, Macau 999078, China
3
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
Full-Text   |   PDF [309 KB, uploaded 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. View Full-Text
Keywords: fractional evolution inclusions; mild solutions; condensing multivalued map fractional evolution inclusions; mild solutions; condensing multivalued map
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
SciFeed

Share & Cite This Article

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.

Show more citation formats Show less citations formats

Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Related Articles

Article Metrics

Article Access Statistics

1

Comments

[Return to top]
Mathematics EISSN 2227-7390 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top