This paper presents a study on space fractional anomalous convective-diffusion and
chemical reaction in the magneto-hydrodynamic fluid over an unsteady stretching sheet. The …

The overreaching goal of this paper is to investigate the existence and uniqueness of weak
solution of a semilinear parabolic equation with double nonlocality in space and in time …

We consider an inverse problem for an integro-differential parabolic equation with free
boundary. This inverse problem aims to identify the memory kernel function from a global …

In this contribution, the reconstruction of a solely time-dependent heat source is studied in
an inverse problem arising in one-dimensional thermoelasticity. The missing heat source is …

In this article, the problem of reconstructing an unknown memory kernel from an integral
overdetermination in an abstract linear (of convolution type) evolution equation of parabolic …

We consider an inverse problem for the determination of a purely time-dependent source in
a semilinear parabolic equation with a nonlocal boundary condition. An approximation …

In this contribution, the reconstruction of a solely time-dependent convolution kernel in an
nonlinear parabolic equation is studied. The missing kernel is recovered from a global …

This paper is devoted to the study of an inverse source problem governed by full Maxwell's
equations by means of the potential field method (the A-ϕ method). The source term is …

In this article we address the numeric inversion of optoacoustic signals to initial stress
profiles. Therefore we study a Volterra integral equation of the second kind that describes …

This paper is devoted to the study of an inverse problem containing a semilinear
integrodifferential parabolic equation with an unknown memory kernel. This equation is …