The Necessary Conditions of Fractional Optimal Control in the Sense of Caputo

2012 ◽  
Vol 156 (1) ◽  
pp. 115-126 ◽  
Author(s):  
Tian Liang Guo
Keyword(s):  
Optimal Control ◽  
Necessary Conditions ◽  
Fractional Optimal Control

Implementation of fractional optimal control problems in real-world applications

2020 ◽  
Vol 23 (6) ◽  
pp. 1783-1796
Author(s):  
Neelam Singha
Keyword(s):  
Optimal Control ◽  
Fractional Order ◽  
Adomian Decomposition Method ◽  
Necessary Optimality Conditions ◽  
Order Model ◽  
Fractional Optimal Control ◽  
Adomian Decomposition ◽  
Real World Applications ◽  
Fractional Optimal Control Problems ◽  
And Control

Abstract In this article, we aim to analyze a mathematical model of tumor growth as a problem of fractional optimal control. The considered fractional-order model describes the interaction of effector-immune cells and tumor cells, including combined chemo-immunotherapy. We deduce the necessary optimality conditions together with implementing the Adomian decomposition method on the suggested fractional-order optimal control problem. The key motive is to perform numerical simulations that shall facilitate us in understanding the behavior of state and control variables. Further, the graphical interpretation of solutions effectively validates the applicability of the present analysis to investigate the growth of cancer cells in the presence of medical treatment.

Numerical Solution of Fractional Optimal Control

2018 ◽  
Vol 180 (2) ◽  
pp. 556-573 ◽  
Author(s):  
Wen Li ◽  
Song Wang ◽  
Volker Rehbock
Keyword(s):  
Optimal Control ◽  
Numerical Solution ◽  
Fractional Optimal Control
Sign in / Sign up

Export Citation Format

Share Document