12 citations · 64 across the 21 of their papers we have counts for
4 papers · 2 filters
A Carleman type estimate of variable order space-fractional diffusion equations and applications to some inverse problems
Junxiong Jia, Jigen Peng
Variable order space-fractional diffusion equation derived as an important model to describe complex anomalous diffusion phenomenon. In this article, well-posedness theory has been…
Studies on an inverse source problem for a space-time fractional diffusion equation by constructing a strong maximum principle
Junxiong Jia, Jigen Peng, Jiaqing Yang
In this paper, we focus on a space-time fractional diffusion equation with the generalized Caputo's fractional derivative operator and a general space nonlocal operator (with the f…
Maximum principles for a time-space fractional diffusion equation
Junxiong Jia, Kexue Li
In this paper, we focus on maximum principles of a time-space fractional diffusion equation. Maximum principles for classical solution and weak solution are all obtained by using p…
Infinite-dimensional Bayesian approach for inverse scattering problems of a fractional Helmholtz equation
Junxiong Jia, Shigang Yu, Jigen Peng +1
In this paper, we focus on a new wave equation described wave propagation in the attenuation medium. In the first part of this paper, based on the time-domain space fractional wave…