This paper is devoted to solve the backward problem for a time-fractional diffusion-wave
equation in a bounded domain. Based on the series expression of the solution for the direct …

In this paper, a backward problem for a time–space fractional diffusion equation is
considered, which is to determine the initial data from a noisy final data. To deal with this ill …

In this paper, we focus on the development and study of the finite difference/pseudo-spectral
method to obtain an approximate solution for the time-fractional diffusion-wave equation in a …

The present paper is devoted to identifying the space-dependent source term and initial
value simultaneously for a time-fractional diffusion equation. This inverse problem is …

The present paper is devoted to recovering the source term and the initial data
simultaneously for a time-fractional diffusion equation from additional temperature data at …

In this paper, we propose a fractional Landweber regularization method for solving a
backward time-fractional diffusion problem. Choice rules for both a-priori and a-posterior …

In this paper, we identify the initial value for a time-fractional diffusion equation on a
columnar axis-symmetric domain. This problem is ill-posed, ie, the solution (if it exists) does …

An inverse source problem of a time–space fractional diffusion equation is considered in this
paper. Due to the ill-posedness of the inverse problem, we propose a novel nonstationary …

This study is devoted to recovering two initial values for a time‐fractional diffusion‐wave
equation from boundary Cauchy data. We provide the uniqueness result for recovering two …

This paper has focused on unknown functions identification in nonlinear boundary
conditions of an inverse problem of a time‐fractional reaction–diffusion–convection …