TY - JOUR
TI - Identifying of unknown source term for the Rayleigh-Stokes problem
AU - Phong Tran Thanh
AU - Kumar Devendra
AU - Long Le Dinh
JN - Thermal Science
PY - 2023
VL - 27
IS - 101
SP - 273
EP - 286
PT - Article
AB - In this paper, we would like to briefly introduce some applications of  fractional derivatives in the fields of heat and fluid-flows. However, our  main focus is on study an inverse source problem for the Rayleigh-Stokes  problem. The problem is severely ill-posed. We verify the ill-posedness of  Problem 1, applying the modified Lavrentiev to construct a regularization  from the exact data. After that, we established the convergent rate between  the exact solution and its approximation. Furthermore, we have the estimate  in Lq space.