The Laplace-collocation method for solving fractional differential equations and a class of fractional optimal control problems

被引：12
|
作者：
Rakhshan, Seyed Ali [1 ]
Effati, Sohrab [1 ]
机构：
[1] Ferdowsi Univ Mashhad, Dept Appl Math, Mashhad, Iran
来源：
OPTIMAL CONTROL APPLICATIONS & METHODS | 2018年 / 39卷 / 02期
关键词：
fractional differential equation; fractional optimal control problem; Laplace transform; shifted Chebyshev-Gauss collocation; ADOMIAN DECOMPOSITION METHOD; DIFFUSION-WAVE EQUATION; NUMERICAL-SOLUTION; ORDER; SCHEME; FORMULATION; CAPUTO;
D O I：
10.1002/oca.2399
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, a new numerical technique is proposed for solving fractional differential equations where its derivative is considered in the Caputo sense. This approach is based on a combination of the Laplace transform and shifted Chebyshev-Gauss collocation method. In addition, we used the proposed technique for solving a class of fractional optimal control problems. For confirming the efficiency and accuracy of the proposed approach, illustrative numerical examples are introduced with its approximate solution.
引用
收藏
页码：1110 / 1129
页数：20
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