TY - JOUR
TI - Regularity for a non-local diffusion equation with Riemann-Liouville derivative
AU - Tuan Nguyen Hoang
AU - Kumar Devendra
AU - Nguyen Anh Tuan
JN - Thermal Science
PY - 2023
VL - 27
IS - 101
SP - 373
EP - 382
PT - Article
AB - Our main goal in this paper is to investigate the regularity of the mild  solution fractional diffusion equation which can be used in the modelling of  heat transfer with memory effects. Under some various assumptions of the  input data, we obtain two main results. We also provide the upper bound and  lower bound of the source function. The main tool is to use complex  evaluations involving the Wright function.