Affiliation:
1. School of Mathematics and Statistics Nanjing University of Information Science and Technology Nanjing China
2. School of Mathematics and Computational Sciences Hunan University of Science and Technology Xiangtan China
3. School of Mathematics and Statistics Central South University Changsha China
Abstract
Rumors often exist in real life. If rumors are not controlled, they usually do not disappear for a limited time. Meanwhile, everyone has memories and time‐fractional derivative can describe the memories. Thus, in this paper, a new time‐fractional rumor model is introduced, and moreover, the finite time extinction of rumor is obtained under a distributed controller is added. What's more, both the ordinary differential equations model and partial differential equations model are studied. Numerical examples verify our results.