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Dr. Mohamed Husien Mohamed Eid :: Publications: |
Title: | STABILITY OF FRACTIONAL OPTIMAL CONTROL PROBLEM
WITH GENERAL PARAMETER IN THE CONSTRAINTS |
Authors: | M. E. Abdelraouf; M.H. Kassem; N. A. El-kholy; M.H. Eid |
Year: | 2022 |
Keywords: | Fractional derivative- Fractional optimal control-Parametric optimization- Solvability set – Stability set of the first kind. |
Journal: | FILOMAT |
Volume: | Vol 34, No 1 (2020) |
Issue: | Not Available |
Pages: | Not Available |
Publisher: | Not Available |
Local/International: | Local |
Paper Link: | Not Available |
Full paper | Not Available |
Supplementary materials | Not Available |
Abstract: |
The basic notions such as solvability and stability sets will be discussed for the fractional optimal control problem which contains general parameters in the cost function. Kuhn- Tucker optimality necessary conditions are established in the presence fractional calculus. These conditions enable us to determine the stability set of parameters corresponding certain optimal solution of the problem. An illustrative example is given to clarify the development results in the paper. |