期刊
OPTIMAL CONTROL APPLICATIONS & METHODS
卷 42, 期 1, 页码 355-373出版社
WILEY
DOI: 10.1002/oca.2679
关键词
Bernstein wavelets; distributed-order fractional derivative; fractional integral operator; numerical method; optimal control problem
资金
- Alzahra university [97/1/216]
This article investigates an efficient computational method for solving distributed-order fractional optimal control problems. The method combines Bernstein wavelets basis, fractional integral operator, Gauss-Legendre numerical integration, and Newton's method, offering easy implementation, simple operations, and accurate solutions. Error analysis and examples demonstrate the applicability of the proposed technique.
The aim of this article is to investigate an efficient computational method for solving distributed-order fractional optimal control problems. In the proposed method, a new Riemann-Liouville fractional integral operator for the Bernstein wavelet is given. This approach is based on a combination of the Bernstein wavelets basis, fractional integral operator, Gauss-Legendre numerical integration, and Newton's method for solving obtained system. Easy implementation, simple operations, and accurate solutions are the essential features of the proposed method. The error analysis of the proposed method is carried out. Examples reveal the applicability of the proposed technique.
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