Approximation methods for solving fractional optimal control problems

被引：20

作者：

Zeid, Samaneh Soradi ^{[1
]}

Effati, Sohrab ^{[1
]}

Kamyad, Ali Vahidian ^{[1
]}

机构：

[1] Ferdowsi Univ Mashhad, Fac Math Sci, Dept Appl Math, Mashhad, Iran

来源：

COMPUTATIONAL & APPLIED MATHEMATICS | 2018年 / 37卷

关键词：

Fractional optimal control problem; Fractional differential equation; Fractional derivative; Fractional two-point boundary value problem; Numerical approximation; PARTIAL-DIFFERENTIAL-EQUATIONS; ADOMIAN DECOMPOSITION METHOD; VARIATIONAL ITERATION METHOD; NUMERICAL-SOLUTION; OPERATIONAL MATRIX; ANOMALOUS DIFFUSION; RADIAL DIFFUSION; GAUSS QUADRATURE; RANDOM-WALKS; TIME-DELAY;

D O I：

10.1007/s40314-017-0424-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this review paper, approximation methods for the free final time of fractional optimal control problems (FOCPs) are displayed. The considered problems mainly include the fractional differential equations (FDEs) with fractional derivatives (FDs). In this way, the considered tools and techniques mainly include the necessary optimal conditions in the form of two-point boundary value (TPBV) problem of fractional order. The Legendre operational, Ritz method and the Jacobi, Bernoulli and Legendre polynomials are extended as numerical methods for FOCPs accordingly. At the same time, the techniques for improving the accuracy and computation and storage are also introduced.

引用

页码：158 / 182

页数：25

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