TY - JOUR
T1 - Fractional order optimal control for biological model
AU - Khadimallah, Mohamed Amine
AU - Ahmad, Shabbir
AU - Hussain, Muzamal
AU - Tounsi, Abdelouahed
N1 - Publisher Copyright:
Copyright © 2024 Techno-Press, Ltd.
PY - 2024/7
Y1 - 2024/7
N2 - In this research, we considered fractional order optimal control models for cancer, HIV treatment and glucose.These models are based on fractional order differential equations that describe the dynamics underlying the disease.It is formulated in term of left and right Caputo fractional derivative. Pontryagin’s Maximum Principle is used as a necessary condition to find the optimal curve for the respective controls over fixed time period. The formulated problems are numerically solved using forward backward sweep method with generalized Euler scheme.
AB - In this research, we considered fractional order optimal control models for cancer, HIV treatment and glucose.These models are based on fractional order differential equations that describe the dynamics underlying the disease.It is formulated in term of left and right Caputo fractional derivative. Pontryagin’s Maximum Principle is used as a necessary condition to find the optimal curve for the respective controls over fixed time period. The formulated problems are numerically solved using forward backward sweep method with generalized Euler scheme.
KW - Caputo fractional derivative
KW - Pontryagin’s maximum principle
KW - fractional order differential equations
UR - http://www.scopus.com/inward/record.url?scp=85198016212&partnerID=8YFLogxK
U2 - 10.12989/cac.2024.34.1.817
DO - 10.12989/cac.2024.34.1.817
M3 - Article
AN - SCOPUS:85198016212
SN - 1598-8198
VL - 34
SP - 817
EP - 831
JO - Computers and Concrete
JF - Computers and Concrete
IS - 1
ER -
