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

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.