Controllability of Fractional Functional Evolution Equations of Sobolev Type via Characteristic Solution Operators

Michal Fec̆kan (), JinRong Wang () and Yong Zhou ()
Additional contact information
Michal Fec̆kan: Comenius University
JinRong Wang: Guizhou University
Yong Zhou: Xiangtan University

Journal of Optimization Theory and Applications, 2013, vol. 156, issue 1, No 8, 79-95

Abstract: Abstract The paper is concerned with the controllability of fractional functional evolution equations of Sobolev type in Banach spaces. With the help of two new characteristic solution operators and their properties, such as boundedness and compactness, we present the controllability results corresponding to two admissible control sets via the well-known Schauder fixed point theorem. Finally, an example is given to illustrate our theoretical results.

Keywords: Controllability; Fractional derivative; Functional evolution equations; Sobolev; Characteristic solution operators (search for similar items in EconPapers)
Date: 2013
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (8)

Downloads: (external link)
http://link.springer.com/10.1007/s10957-012-0174-7 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:joptap:v:156:y:2013:i:1:d:10.1007_s10957-012-0174-7

Ordering information: This journal article can be ordered from
http://www.springer. ... cs/journal/10957/PS2

DOI: 10.1007/s10957-012-0174-7

Access Statistics for this article

Journal of Optimization Theory and Applications is currently edited by Franco Giannessi and David G. Hull

More articles in Journal of Optimization Theory and Applications from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().