@Article{JPDE-31-3, author = {Xitao, Li and Xu, 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 = {https://global-sci.com/article/88209/cauchy-problem-for-a-fractional-parabolic-equation-with-the-advection} }