International Journal of Nonlinear Analysis and Applications

Solving optimal control problems governed by a fractional differential equation using the Lagrange matrix operator

Document Type : Research Paper

Authors

Department of Mathematics, College of Science, University of Qom, Qom, Iran

Abstract

The study offers a numerical approach to a type of FOCPs. The Legendre interpolation polynomials foundation serves as the technique's foundation. Consideration is given to the Lagrange multiplier approach for the restricted parameters as well as the operating matrix of fractions Riemann-Liouville integral and multiplies. Using this approach, the provided optimizing issue can be reduced to the challenge of calculating an algebraic equation-solving system. The FOCP result is achieved by analyzing this issue. Samples that illustrate the proposed method's viability and usefulness are provided.

Keywords

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International Journal of Nonlinear Analysis and Applications
Volume 14, Issue 11
November 2023
Pages 299-308
  • Receive Date: 04 November 2022
  • Revise Date: 20 January 2023
  • Accept Date: 28 February 2023