| publication name | STABILITY OF FRACTIONAL OPTIMAL CONTROL PROBLEMS WITH PARAMETERS IN THE OBJECTIVE FUNCTION |
|---|---|
| Authors | Ebrahim Youness; Nabil El-Kholy; Mohamed Eid; Mohamed Emad Abdelraouf |
| year | 2020 |
| keywords | Optimal control problems;fractional calculus;Solvability set; Stability set of the first and second kinds |
| journal | FILOMAT |
| volume | 34 |
| issue | 1 |
| pages | 211-219 |
| publisher | Faculty of Sciences and Mathematics, University of Nis, Republic of Serbia |
| Local/International | International |
| Paper Link | https://doi.org/10.2298/FIL2001211Y |
| Full paper | download |
| 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.