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

Document Type : Research Paper


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



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.


Articles in Press, Corrected Proof
Available Online from 19 March 2023
  • Receive Date: 04 November 2022
  • Revise Date: 20 January 2023
  • Accept Date: 28 February 2023
  • First Publish Date: 19 March 2023