WELL-POSEDNESS AND REGULARITY OF CAPUTO–HADAMARD TIME-FRACTIONAL DIFFUSION EQUATIONS
Abstract
Ultraslow diffusion describes the long-time diffusion of particles whose mean square displacement (MSD) grows logarithmically in time. We prove the well-posedness of a Caputo–Hadamard time-fractional diffusion model in multiple space dimensions, in which the MSD in time grows logarithmically and thus provides adequate descriptions for the ultraslow diffusion processes, as well as the smoothing properties of the solutions.
Document Details
- Document Type
- Pub Defense Publication
- Publication Date
- Jan 22, 2022
- Source ID
- 10.1142/s0218348x22500050
Entities
People
- Hong Wang
- Xiangcheng Zheng
- Zhiwei Yang
Organizations
- Army Research Office
- Fudan University
- National Natural Science Foundation of China
- National Science Foundation
- Peking University
- University of South Carolina