In the present paper, we devote our effort to a nonlinear inverse problem for simultaneously
recovering the potential function and the fractional orders in a multi-term time-fractional …

This paper is devoted to identifying the fractional order and diffusion coefficient in a time
fractional diffusion wave equation from boundary observation data in one dimensional case …

Given a connected compact Riemannian manifold (M, g) without boundary, dim⁡ M≥ 2, we
consider a space–time fractional diffusion equation with an interior source that is supported …

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 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 …

The main purpose of this paper is to identify simultaneously a time-dependent potential
coefficient and a time source term in a time fractional diffusion-wave equation from two …

This article investigates the uniqueness of identifying the fractional-order, potential, and
Robin coefficient simultaneously in one-dimensional time-fractional diffusion equation with …

We analyze the inverse boundary value-problem to determine the fractional order ν of
nonautonomous semilinear subdiffusion equations with memory terms from observations of …

The Bayesian statistical inversion method is implemented to obtain the parameter
estimations for fractional LotkaVolterra models, including the derivative orders, based on …

In this paper, it is considered an inverse space-dependent source problem of time-space
fractional diffusion equation from the noisy final data in a bounded domain. Such a problem …