Nonexistence of the Solutions to Dual Fractional Parabolic Equations

In the report, the qualitative properties of the solutions to dual fractional parabolic equations with fully nonlinear operators were discussed. Firstly, the method of moving planes was used to demonstrate the characteristics that the positive bounded solutions to dual fractional parabolic equations strictly monotone increased alone the space direction; secondly, an unbounded sub-solution was constructed; finally, the nonexistence of the positive bounded solutions was derived.