Etude de certains problèmes inverses paraboliques d’ordre fractionnaire en temps

To cite this article: Jean-Claude Jolly, Laetitia Perez & Laurent Autrique , Inverse Problems in Science and Engineering (2013): An inverse geometry problem for a

La donnée d’un problème d’évolution consiste en deux fonctions t H E H exprimant une information sur les déplacements imposés à certains éléments du sytème, et

The direct problems, i.e., initial value problem and initial boundary value problems for the time fractional diffusion equation have been stud- ied extensively in recent years,

This paper is concerned with the inverse problem of determining the time and space dependent source term of diffusion equations with constant-order time-fractional deriv- ative in

In this work using the fractional-time derivative with the non- singular Mittag-Laffler kernel, we have obtained the existence and uniqueness results for the fractional

Moreover, we prove that our solutions coincide with those obtained through the standard “vanishing viscosity method”, but show that a boundary layer occurs: the solution does not

This Note deals with a uniqueness and stability result for a nonlinear reaction-diffusion equation with heteroge- neous coefficients, which arises as a model of population dynamics

Recently [13, 36], a new approach involving only pointwise observation of the solution ypx, tq has been applied to obtain uniqueness results in several inverse parabolic