Approximate Controllability for Impulsive Riemann-Liouville Fractional Differential Inclusions
Joint Authors
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-12-31
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
We study the control systems governed by impulsive Riemann-Liouville fractional differential inclusions and their approximate controllability in Banach space.
Firstly, we introduce the PC1-α-mild solutions for the impulsive Riemann-Liouville fractional differential inclusions in Banach spaces.
Secondly, by using the fractional power of operators and a fixed point theorem for multivalued maps, we establish sufficient conditions for the approximate controllability for a class of Riemann-Liouville fractional impulsive differential inclusions, which is a generalization and continuation of the recent results on this issue.
At the end, we give an example to illustrate the application of the abstract results.
American Psychological Association (APA)
Liu, Zhen-hai& Bin, Maojun. 2013. Approximate Controllability for Impulsive Riemann-Liouville Fractional Differential Inclusions. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-17.
https://search.emarefa.net/detail/BIM-487344
Modern Language Association (MLA)
Liu, Zhen-hai& Bin, Maojun. Approximate Controllability for Impulsive Riemann-Liouville Fractional Differential Inclusions. Abstract and Applied Analysis No. 2013 (2013), pp.1-17.
https://search.emarefa.net/detail/BIM-487344
American Medical Association (AMA)
Liu, Zhen-hai& Bin, Maojun. Approximate Controllability for Impulsive Riemann-Liouville Fractional Differential Inclusions. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-17.
https://search.emarefa.net/detail/BIM-487344
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-487344