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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.

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