Over the last two decades, anomalous diffusion processes in which the mean squares
variance grows slower or faster than that in a Gaussian process have found many …

This accessible monograph is devoted to a rapidly develo** area on the research of
qualitative theory of fractional ordinary differential equations and evolution equations. It is …

Inverse problems of determining sources of the fractional partial differential equations Page
1 Yikan Liu, Zhiyuan Li, and Masahiro Yamamoto Inverse problems of determining sources …

An inverse source problem for a fractional diffusion equation is investigated. Under an
assumption that the unknown source term is time independent, an analytical solution can be …

This paper deals with an inverse problem of simultaneously identifying the space-dependent
diffusion coefficient and the fractional order in the 1D time-fractional diffusion equation with …

In this paper, we first establish a weak unique continuation property for time-fractional
diffusion-advection equations. The proof is mainly based on the Laplace transform and the …

We study an inverse problem of recovering a spatially varying potential term in a one-
dimensional time-fractional diffusion equation from the flux measurements taken at a single …

Coefficient inverse problem for a fractional diffusion equation - IOPscience Skip to content IOP
Science home Accessibility Help Search Journals Journals list Browse more than 100 science …

Abstract Given (M, g), a compact connected Riemannian manifold of dimension d⩾ 2, with
boundary∂ M, we consider an initial boundary value problem for a fractional diffusion …

This paper deals with mathematical problems related to space-dependent anomalous
diffusion processes. Namely, we investigate diffusion equations with time-fractional …