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.