Genocchi polynomials as a tool for solving a class of fractional optimal control problems

An International Journal of Optimization and Control: Theories & Applications

article

Haleh Tajadodi¹  Hossein Jafari²  Mahluli Naisbitt Ncube² 

[1] Department of Mathematics, University of Sistan and Baluchestan;Department of Mathematical Sciences, University of South Africa

关键词: Fractional derivative;    Optimal control problems;    Operational matrix;    Genocchi polynomials;   

DOI  :  10.11121/ijocta.2022.1263

学科分类：地球科学(综合)

来源: Balikesir University

【 摘 要 】

In this research, we use operational matrix based on Genocchi polynomials to obtain approximate solutions for a class of fractional optimal control problems. The approximate solution takes the form of a product consisting of unknown coefficients and the Genocchi polynomials. Our main task is to compute the numerical values of the unknown coefficients. To achieve this goal, we apply the initial condition of the problem, the Tau and Lagrange multiplier methods. We do error analysis as a means to study the behaviour of the approximate solutions.

【 授权许可】

CC BY