In this paper, a backward problem for a time–space fractional diffusion with nonlinear source
has been considered. Under some assumptions, we establish the existence and uniqueness …

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

This paper is devoted to discuss a multidimensional backward heat conduction problem for
time‐fractional diffusion equation with inhomogeneous source. This problem is ill‐posed …

Optimal order stability estimates of Hölder type for the backward Caputo time-fractional
abstract parabolic equations are obtained. This ill-posed problem is regularized by a non …

To overcome ill-posed problems in operational transfer path analysis (OTPA), and improve
the stability of solutions, this paper proposes a novel OTPA based on Tikhonov …

This work is concerned with a mathematical study of backward problem for time-space
fractional diffusion equations associated with the observed data measured in Hilbert scales …

In this paper, we focus on the backward diffusion problem with the Caputo fractional
derivative operator in time and a general spatial nonlocal operator. For T> 0 and s∈[0, T) …

In this paper, the problem of unknown source identification for the space-time fractional
diffusion equation is studied. In this equation, the time fractional derivative used is a new …

In this paper, we concern with a backward problem for a nonlinear time fractional wave
equation in a bounded domain. By applying the properties of Mittag-Leffler functions and the …