Maximum Principle for the Space-Time Fractional Conformable Differential System Involving the Fractional Laplace Operator

Tingting Guan, Guotao Wang, Nan-Jing Huang
2020 Journal of Mathematics  
In this paper, the authors consider a IBVP for the time-space fractional PDE with the fractional conformable derivative and the fractional Laplace operator. A fractional conformable extremum principle is presented and proved. Based on the extremum principle, a maximum principle for the fractional conformable Laplace system is established. Furthermore, the maximum principle is applied to the linear space-time fractional Laplace conformable differential system to obtain a new comparison theorem.
more » ... omparison theorem. Besides that, the uniqueness and continuous dependence of the solution of the above system are also proved.
doi:10.1155/2020/7213146 fatcat:wx2nzyht5baunputvj3yo52c6e