An inverse problem for determining the order of the Caputo time-fractional derivative in a
subdiffusion equation with an arbitrary positive self-adjoint operator A with discrete spectrum …

In this work, we investigate an inverse problem of recovering multiple orders in a time-
fractional diffusion model from the data observed at one single point on the boundary. We …

1 Introduction sn this rti leD we onsider the inverse pro lem for simult neously determining
the order of the iem nnEviouville time fr tion l deriv tive nd the sour e fun tion in su diffusion …

In this work, we investigate the recovery of a parameter in a diffusion process given by the
order of derivation in time for a class of diffusion-type equations, including both classical and …

As the most significant difference from parabolic equations, long-time or short-time behavior
of solutions to time-fractional evolution equations is dominated by the fractional orders …

In this article we study two inverse problems of recovering a space-time-dependent source
component from the lateral boundary observation in a subdiffusion model. The mathematical …

We consider the inverse source problem in the parabolic equation, where the unknown
source possesses the semi-discrete formulation. Theoretically, we prove that the flux data …

This paper is devoted to recovering simultaneously the fractional order and the space-
dependent source term from partial Cauchy's boundary data in a multidimensional time …

In this article, we consider an inverse problem for determining simultaneously a fractional
order and a time-dependent source term in a multi-dimensional time-fractional diffusion …

In this paper, we are concerned with the stochastic time-fractional diffusion-wave equations
in a Hilbert space. The main objective of this paper is to establish properties of the stochastic …