Unique recovery of the initial state of distributed order time fractional diffusion equation
Hui Liu,
Zhiyuan Li,
Zhousheng Ruan
Abstract:We use Phragm\'en-Lindel\"of-Liouville argument to prove the uniqueness for the determining the initial state of solution for the time fractional diffusion equation with distributed order derivative. Several numerical experiments are presented to show the accuracy and efficiency of the algorithm.
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