arrow
Volume 39, Issue 3
Null-Controllability of a Diffusion Equation with Fractional Integro-Differential Expressions

Xiangdong Yang

Anal. Theory Appl., 39 (2023), pp. 299-308.

Published online: 2023-09

Export citation
  • 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.

  • AMS Subject Headings

34A08, 30E05, 35E20, 41A75

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address
  • BibTex
  • RIS
  • TXT
@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.

Yang , Xiangdong. (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
Copy to clipboard
The citation has been copied to your clipboard