Distributed Control for Time-Fractional Differential System Involving Schrödinger Operator
Joint Authors
Source
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-07-22
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
In this paper, we investigate the distributed optimal control problem for time-fractional differential system involving Schrödinger operator defined on Rn.
The time-fractional derivative is considered in the Riemann-Liouville sense.
By using the Lax-Milgram lemma, we prove the existence and uniqueness of the solution of this system.
For the fractional Dirichlet problem with linear quadratic cost functional, we give some equations and inequalities which provide the necessary and sufficient optimality conditions.
Moreover, we provide specific application examples to demonstrate the effectiveness of our results.
American Psychological Association (APA)
Hyder, Abd-Allah& EL-Badawy, M.. 2019. Distributed Control for Time-Fractional Differential System Involving Schrödinger Operator. Journal of Function Spaces،Vol. 2019, no. 2019, pp.1-8.
https://search.emarefa.net/detail/BIM-1174666
Modern Language Association (MLA)
Hyder, Abd-Allah& EL-Badawy, M.. Distributed Control for Time-Fractional Differential System Involving Schrödinger Operator. Journal of Function Spaces No. 2019 (2019), pp.1-8.
https://search.emarefa.net/detail/BIM-1174666
American Medical Association (AMA)
Hyder, Abd-Allah& EL-Badawy, M.. Distributed Control for Time-Fractional Differential System Involving Schrödinger Operator. Journal of Function Spaces. 2019. Vol. 2019, no. 2019, pp.1-8.
https://search.emarefa.net/detail/BIM-1174666
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1174666