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

	Solving optimal control problems governed by a fractional differential equation using the Lagrange matrix operator
International Journal of Nonlinear Analysis and Applications
مقاله 25، دوره 14، شماره 11، بهمن 2023، صفحه 299-308 اصل مقاله (621.6 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2023.22167.3981
نویسندگان
Raad M. Kadum؛ M. Mahmoudi^*
Department of Mathematics, College of Science, University of Qom, Qom, Iran
چکیده
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.
کلیدواژه‌ها
Technique of Lagrange multipliers؛ matrix operations؛ Issue of fractional optimum controlling
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