We consider a one-dimensional fractional diffusion equation:, where and denotes the
Caputo derivative in time of order α. We attach the homogeneous Neumann boundary …

Identification of pollution point source in rivers is strenuous due to accidental chemical spills
or unmanaged wastewater discharges. It is crucial to take physical characteristics into …

Identification of gas leakage source term is important for atmosphere safety. Optimization is
one useful method to determine leakage source parameters. The performances of different …

In this work, we address the problem of estimating parameters of diffusion phenomena via
autonomous wireless sensor networks. Diffusion phenomena, such as the propagation of a …

A parabolic equation and, more generally, parabolic inequality is considered in the cylinder
QT= Ω×(0, T), where Ω⊂ R n is a bounded domain. Cauchy data, ie, both Dirichlet and …

In recent years, different fields of engineering have been increasingly incorporating
functionally graded materials with variable physical properties that significantly improve a …

The inverse problem of identifying the diffusion coefficient in the one‐dimensional parabolic
heat equation is studied. We assume that the information of Dirichlet boundary conditions …

Functionally graded materials are being widely implemented in many fields of technology. In
the paper we present an approach to solving an inverse problem on a simultaneous …

Let y (h)(t, x) be one solution to\[\partial_t y (t, x)-\sum_ {i, j= 1}^{n}\partial_ {j}(a_
{ij}(x)\partial_i y (t, x))= h (t, x),\thinspace 0< t< T,\thinspace x\in\Omega\] with a non …

We study the problem of distributed adaptive estimation over networks where nodes
cooperate to estimate physical parameters that can vary over both space and time domains …