Solution of Some Types for Composition Fractional Order Differential Equations Corresponding to Optimal Control Problems
Joint Authors
Qasim Hasan, Sameer
Abbas Holel, Moataz
Source
Journal of Control Science and Engineering
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-08-01
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Electronic engineering
Information Technology and Computer Science
Abstract EN
The approximate solution for solving a class of composition fractional order optimal control problems (FOCPs) is suggested and studied in detail.
However, the properties of Caputo and Riemann-Liouville derivatives are also given with complete details on Chebyshev approximation function to approximate the solution of fractional differential equation with different approach.
Also, the relation between Caputo and Riemann-Liouville of fractional derivative took a big role for simplifying the fractional differential equation that represents the constraints of optimal control problems.
The approximate solutions are defined on interval [0,1] and are compared with the exact solution of order one which is an important condition to support the working method.
Finally, illustrative examples are included to confirm the efficiency and accuracy of the proposed method.
American Psychological Association (APA)
Qasim Hasan, Sameer& Abbas Holel, Moataz. 2018. Solution of Some Types for Composition Fractional Order Differential Equations Corresponding to Optimal Control Problems. Journal of Control Science and Engineering،Vol. 2018, no. 2018, pp.1-12.
https://search.emarefa.net/detail/BIM-1182972
Modern Language Association (MLA)
Qasim Hasan, Sameer& Abbas Holel, Moataz. Solution of Some Types for Composition Fractional Order Differential Equations Corresponding to Optimal Control Problems. Journal of Control Science and Engineering No. 2018 (2018), pp.1-12.
https://search.emarefa.net/detail/BIM-1182972
American Medical Association (AMA)
Qasim Hasan, Sameer& Abbas Holel, Moataz. Solution of Some Types for Composition Fractional Order Differential Equations Corresponding to Optimal Control Problems. Journal of Control Science and Engineering. 2018. Vol. 2018, no. 2018, pp.1-12.
https://search.emarefa.net/detail/BIM-1182972
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1182972