Null-Controllability of a Diffusion Equation with Fractional Integro-Differential Expressions

Null-Controllability of a Diffusion Equation with Fractional Integro-Differential Expressions

Year:    2023

Author:    Xiangdong Yang

Analysis in Theory and Applications, Vol. 39 (2023), Iss. 3 : pp. 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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/ata.OA-2018-0020

Analysis in Theory and Applications, Vol. 39 (2023), Iss. 3 : pp. 299–308

Published online:    2023-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    10

Keywords:    Null-controllability Mittag-Leffler functions Paley-Wiener type theorems diffusion equation with fractional integro-differential expressions.

Author Details

Xiangdong Yang