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math.AP2023
A generalized fractional Laplacian
Xiangcheng Zheng, V. J. Ervin, Hong Wang
In this article we show that the fractional Laplacian in can be factored into a product of the divergence operator, a Riesz potential operator, and the gradient operator. U…
math.AP2021★ 2 cited
Analysis of viscoelastic flow with a generalized memory and its exponential convergence to steady state
Yingwen Guo, Xiangcheng Zheng
We investigate a viscoelastic flow model with a generalized memory, in which a weak-singular component is introduced in the exponential convolution kernel of classical viscoelastic…
math.AP2019★ 21 cited
Uniqueness of determining the variable fractional order in variable-order time-fractional diffusion equations
Xiangcheng Zheng, Jin Cheng, Hong Wang
We study an initial-boundary value problem of variable-order time-fractional diffusion equations in one space dimension. Based on the wellposedness of the proposed model and the sm…