Journal of Vibration and Control, ( ISI ), Volume (1), No (1), Year (2016-10) , Pages (1-16)

Title : ( Solution for fractional distributed optimal control problem by hybrid meshless method )

Authors: majid darehmiraki , Mohammad Hadi Farahi , Sohrab Effati ,

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We use a hybrid local meshless method to solve the distributed optimal control problem of a system governed by parabolic partial differential equations with Caputo fractional time derivatives of order α ∈ (0, 1]. The presented meshless method is based on the linear combination of moving least squares and radial basis functions in the same compact support, this method will change between interpolation and approximation. The aim of this paper is to solve the system of coupled fractional partial differential equations, with necessary and sufficient conditions, for fractional distributed optimal control problems using a combination of moving least squares and radial basis functions. To keep matters simple, the problem has been considered in the one-dimensional case, however the techniques can be employed for both the two- and three-dimensional cases. Several test problems are employed and results of numerical experiments are presented. The obtained results confirm the acceptable accuracy of the proposed method.

Keywords

, Fractional derivative, moving least squares, radial basis function, collocation method, distributed optimal control radial basis function collocation method distributed optimal control, Fractional derivative, moving least squares, radial basis function, collocation
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@article{paperid:1059448,
author = {Darehmiraki, Majid and Farahi, Mohammad Hadi and Effati, Sohrab},
title = {Solution for fractional distributed optimal control problem by hybrid meshless method},
journal = {Journal of Vibration and Control},
year = {2016},
volume = {1},
number = {1},
month = {October},
issn = {1077-5463},
pages = {1--16},
numpages = {15},
keywords = {Fractional derivative; moving least squares; radial basis function; collocation method; distributed optimal control radial basis function collocation method distributed optimal control; Fractional derivative; moving least squares; radial basis function; collocation method},
}

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%0 Journal Article
%T Solution for fractional distributed optimal control problem by hybrid meshless method
%A Darehmiraki, Majid
%A Farahi, Mohammad Hadi
%A Effati, Sohrab
%J Journal of Vibration and Control
%@ 1077-5463
%D 2016

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