Decay of solutions to parabolic-type problem with distributed order Caputo derivative

作者：Kubiea Adam^*; Ryszewska Katarzyna

来源：Journal of Mathematical Analysis and Applications, 2018, 465(1): 75-99.

DOI：10.1016/j.jmaa.2018.04.067

• Distributed order fractional diffusion
• Weak solutions
• Time-depended elliptic operator
• Temporal decay of solution

We consider the decay of solution to a fractional diffusion equation with distributed order Caputo derivative. We assume that the elliptic operator is time-dependent and that the weight function, contained in the definition of the distributed order Caputo derivative, is just integrable. We establish the relation between behavior of the weight function near zero and the decay rate of solution.

• 出版日期2018-9-1