Inverse source problem for a time-fractional heat equation with generalized impedance boundary condition
Analysis of PDEs
2016-09-06 v2
Abstract
The paper considers an inverse source problem for a one-dimensional time-fractional heat equation with the generalized impedance boundary condition. The inverse problem is the time dependent source parameter identification together with the temperature distrubution from the energy measurement. The well-posedness of the inverse problem is shown by applying the Fourier expansion in terms of eigenfunctions of a spectral problem which has the spectral parameter also in the boundary condition and by using the results on Volterra type integral equation with the kernel may have a diagonal singularity.
Keywords
Cite
@article{arxiv.1607.03311,
title = {Inverse source problem for a time-fractional heat equation with generalized impedance boundary condition},
author = {M. Cicek and M. I. Ismailov},
journal= {arXiv preprint arXiv:1607.03311},
year = {2016}
}