Computers and Concrete

Techno-Press (테크노프레스)
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Fractional order optimal control for biological model

  • Mohamed Amine Khadimallah (Department of Civil Engineering, College of Engineering in Al-Kharj, Prince Sattam Bin Abdulaziz University) ;
  • Shabbir Ahmad (Department of Mathematics, COMSATS University Islamabad) ;
  • Muzamal Hussain (Department of Mathematics, University of Sahiwal) ;
  • Abdelouahed Tounsi (YFL (Yonsei Frontier Lab), Yonsei University)
  • Received : 2022.12.10
  • Accepted : 2023.12.20
  • Published : 2024.07.25
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Abstract

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.

Keywords

Acknowledgement

The authors extend their appreciation to the Deputyship for Research and Innovation, Ministry of Education in Saudi Arabia for funding this research work through the project number (IF2/PSAU/2022/01/21994).

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