Title : ( The Laplace‐collocation method for solving fractional differential equations and a class of fractional optimal control problems )
Authors: Seyed Ali Rakhshan , Sohrab Effati ,
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Abstract
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 tech- nique 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
Keywords
, fractional differential equation, fractional optimal control problem, Laplace transform, shifted Chebyshev-Gauss collocation
@article{paperid:1067357,
author = {Rakhshan, Seyed Ali and Effati, Sohrab},
title = {The Laplace‐collocation method for solving fractional differential equations and a class of fractional optimal control problems},
journal = {Optimal control applications and Methods},
year = {2018},
volume = {39},
number = {2},
month = {March},
issn = {0143-2087},
pages = {1110--1129},
numpages = {19},
keywords = {fractional differential equation; fractional optimal control problem; Laplace transform; shifted Chebyshev-Gauss collocation},
}
%0 Journal Article
%T The Laplace‐collocation method for solving fractional differential equations and a class of fractional optimal control problems
%A Rakhshan, Seyed Ali
%A Effati, Sohrab
%J Optimal control applications and Methods
%@ 0143-2087
%D 2018
