Approximate Controllability of Fractional Sobolev-Type Evolution Equations in Banach Spaces
Author
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-03-23
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
We discuss the approximate controllability of semilinear fractional Sobolev-type differential system under the assumption that the corresponding linear system is approximately controllable.
Using Schauder fixed point theorem, fractional calculus and methods of controllability theory, a new set of sufficient conditions for approximate controllability of fractional Sobolev-type differential equations, are formulated and proved.
We show that our result has no analogue for the concept of complete controllability.
The results of the paper are generalization and continuation of the recent results on this issue.
American Psychological Association (APA)
Mahmudov, Nazim Idrisoglu. 2013. Approximate Controllability of Fractional Sobolev-Type Evolution Equations in Banach Spaces. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-476735
Modern Language Association (MLA)
Mahmudov, Nazim Idrisoglu. Approximate Controllability of Fractional Sobolev-Type Evolution Equations in Banach Spaces. Abstract and Applied Analysis No. 2013 (2013), pp.1-9.
https://search.emarefa.net/detail/BIM-476735
American Medical Association (AMA)
Mahmudov, Nazim Idrisoglu. Approximate Controllability of Fractional Sobolev-Type Evolution Equations in Banach Spaces. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-476735
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-476735