58 citations · 143 across the 19 of their papers we have counts for
4 papers · 1 filter
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…
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…
Fast procedures for Caputo fractional derivative and its applications to ordinary and partial differential equations
Zhengguang Liu, Aijie Cheng, Xiaoli Li +1
In this paper, we develop fast procedures for solving linear systems arising from discretization of ordinary and partial differential equations with Caputo fractional derivative w.…
Wellposedness of Neumann boundary-value problems of space-fractional differential equations
Hong Wang, Danping Yang
Fractional differential equation (FDE) provides an accurate description of transport processes that exhibit anomalous diffusion but introduces new mathematical difficulties that ha…