Inverse scattering problems of the reconstructions of physical properties of a medium from
boundary measurements are substantially challenging ones. This work aims to verify the …

Nonlocal models are ubiquitous in all branches of science and engineering, with a rapidly
expanding range of mathematical and computational applications due to the ability of such …

In this paper, we consider a two-dimensional time-fractional inverse heat conduction
problem, which is severely ill-posed. A quasi-reversibility method is proposed to solve this …

In this paper, we investigate a final boundary value problem for a class of fractional with
parameter β pseudo-parabolic partial differential equations with nonlinear reaction term. For …

On existence and regularity of a terminal value problem for the time fractional diffusion equation
- IOPscience Skip to content IOP Science home Accessibility Help Search Journals Journals list …

Two main aims of this paper are to develop a numerical method to solve an inverse source
problem for parabolic equations and apply it to solve a nonlinear coefficient inverse …

The key tool of this paper is a new Carleman estimate for an arbitrary parabolic operator of
the second order for the case of reversed time data. This estimate works on an arbitrary time …

We propose a robust numerical method to find the coefficient of the creation or depletion
term of parabolic equations from the measurement of the lateral Cauchy information of their …

We study for nonlinear Kirchhoff's model of pseudo parabolic type by considering its two
different problems.⋅ For initial value problem, we obtain the results on the existence and …

We study the semilinear strongly damped plate equation by considering its two different
problems. For initial value problem, we prove the local well-posedness and blow-up results …