@Article{JPDE-31-252, author = {Li , XitaoXu , Meng and Zhou , Shulin}, title = {Cauchy Problem for a Fractional Parabolic Equation with the Advection}, journal = {Journal of Partial Differential Equations}, year = {2018}, volume = {31}, number = {3}, pages = {252--273}, abstract = {

In this paper, we give an explicit formula of the solution to Cauchy problem of a fractional parabolic equation with the advection, and then prove the solvability of Cauchy problem and further Schauder-type regularity of the solution under appropriate conditions on the initial value and the right-hand side term.

}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v31.n3.5}, url = {http://global-sci.org/intro/article_detail/jpde/12708.html} }