A posteriori error estimates of spectral method for the fractional optimal control problems with non-homogeneous initial conditions

A posteriori error estimates of spectral method for the fractional optimal control problems with non-homogeneous initial conditions

In this paper we consider an optimal control problem governed by a space-time fractional diffusion equation with non-homogeneous initial conditions. A spectral method is proposed to discretize the problem in both time and space directions. The contribution of the paper is threefold: (1) A discussion...

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Bibliographic Details
Main Authors: Xingyang Ye, Chuanju Xu
Format: Article
Language:English
Published: AIMS Press 2021-08-01
Series:AIMS Mathematics
Subjects:
fractional optimal control problem
initial conditions
spectral method
a posteriori error
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2021697?viewType=HTML

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https://www.aimspress.com/article/doi/10.3934/math.2021697?viewType=HTML

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