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Solvability and Optimal Controls of Semilinear Riemann-Liouville Fractional Differential Equations
Joint Authors
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-04-15
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
We consider the control systems governed by semilinear differential equations with Riemann-Liouville fractional derivatives in Banach spaces.
Firstly, by applying fixed point strategy, some suitable conditions are established to guarantee the existence and uniqueness of mild solutions for a broad class of fractional infinite dimensional control systems.
Then, by using generally mild conditions of cost functional, we extend the existence result of optimal controls to the Riemann-Liouville fractional control systems.
Finally, a concrete application is given to illustrate the effectiveness of our main results.
American Psychological Association (APA)
Pan, Xue& Li, Xiuwen& Zhao, Jing. 2014. Solvability and Optimal Controls of Semilinear Riemann-Liouville Fractional Differential Equations. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-1013495
Modern Language Association (MLA)
Pan, Xue…[et al.]. Solvability and Optimal Controls of Semilinear Riemann-Liouville Fractional Differential Equations. Abstract and Applied Analysis No. 2014 (2014), pp.1-11.
https://search.emarefa.net/detail/BIM-1013495
American Medical Association (AMA)
Pan, Xue& Li, Xiuwen& Zhao, Jing. Solvability and Optimal Controls of Semilinear Riemann-Liouville Fractional Differential Equations. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-1013495
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1013495