Inverse problem to determine simultaneously several scalar parameters and a time-dependent source term in a superdiffusion equation involving a multiterm fractional Laplacian
Analysis of PDEs
2025-05-06 v1
Abstract
Inverse problem to recover simultaneously a scalar coefficient, order of a time-fractional derivative, parameters of multiterm fractional Laplacian and a time-dependent source term occurring in a superdiffusion equation from measurements over the time is considered. Uniqueness of a solution is proved. The proof uses asymptotics of poles of the Laplace transform of a measured function.
Keywords
Cite
@article{arxiv.2505.02348,
title = {Inverse problem to determine simultaneously several scalar parameters and a time-dependent source term in a superdiffusion equation involving a multiterm fractional Laplacian},
author = {Hany Gerges and Jaan Janno},
journal= {arXiv preprint arXiv:2505.02348},
year = {2025}
}