An alternating approach for reconstructing the initial value and source term in a time-fractional diffusion-wave equation
Y Zhang, X Feng, X Yan - arxiv preprint arxiv:2502.16453, 2025 - arxiv.org
This paper is dedicated to addressing the simultaneous inversion problem involving the
initial value and space-dependent source term in a time-fractional diffusion-wave equation …
initial value and space-dependent source term in a time-fractional diffusion-wave equation …
Inverse problems for the fractional diffusion equation driven by fractional Brownian sheet
S Lei, H Fan, Y Li - Physica Scripta, 2024 - iopscience.iop.org
This paper explores the inverse problems of the space-time fractional diffusion equation
driven by a space-time fractional Brownian sheet, including spatial stochastic source term …
driven by a space-time fractional Brownian sheet, including spatial stochastic source term …
An inverse source problem for the stochastic multi-term time-fractional diffusion-wave equation
X Feng, Q Yao, P Li, X Wang - arxiv preprint arxiv:2311.01170, 2023 - arxiv.org
In this paper, we study both the direct and inverse random source problems associated with
the multi-term time-fractional diffusion-wave equation driven by a fractional Brownian …
the multi-term time-fractional diffusion-wave equation driven by a fractional Brownian …
Special issue on inverse problems for fractional operators
Fractional operators as components of partial differential equations have been studied since
the 1950s. In the late 1960s it was realised that the use of fractional order derivative …
the 1950s. In the late 1960s it was realised that the use of fractional order derivative …