Null-Controllability of a Diffusion Equation with Fractional Integro-Differential Expressions
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@Article{ATA-39-299,
author = {Yang , Xiangdong},
title = {Null-Controllability of a Diffusion Equation with Fractional Integro-Differential Expressions},
journal = {Analysis in Theory and Applications},
year = {2023},
volume = {39},
number = {3},
pages = {299--308},
abstract = {
The article considers the controllability of a diffusion equation with fractional integro-differential expressions. We prove that the resulting equation is null-controllable in arbitrary small time. Our method reduces essentially to the study of classical moment problems.
}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.OA-2018-0020}, url = {http://global-sci.org/intro/article_detail/ata/22003.html} }
TY - JOUR
T1 - Null-Controllability of a Diffusion Equation with Fractional Integro-Differential Expressions
AU - Yang , Xiangdong
JO - Analysis in Theory and Applications
VL - 3
SP - 299
EP - 308
PY - 2023
DA - 2023/09
SN - 39
DO - http://doi.org/10.4208/ata.OA-2018-0020
UR - https://global-sci.org/intro/article_detail/ata/22003.html
KW - Null-controllability, Mittag-Leffler functions, Paley-Wiener type theorems, diffusion equation with fractional integro-differential expressions.
AB -
The article considers the controllability of a diffusion equation with fractional integro-differential expressions. We prove that the resulting equation is null-controllable in arbitrary small time. Our method reduces essentially to the study of classical moment problems.
Xiangdong Yang. (2023). Null-Controllability of a Diffusion Equation with Fractional Integro-Differential Expressions.
Analysis in Theory and Applications. 39 (3).
299-308.
doi:10.4208/ata.OA-2018-0020
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