[HTML][HTML] The influence of the Caputo fractional derivative on time-fractional Maxwell's equations of an electromagnetic infinite body with a cylindrical cavity under four …

EAN Al-Lehaibi, HM Youssef - Mathematics, 2024 - mdpi.com
This paper introduces a new mathematical modeling of a thermoelastic and electromagnetic
infinite body with a cylindrical cavity in the context of four different thermoelastic theorems; …

Singular perturbation and initial layer for the abstract Moore-Gibson-Thompson equation

E Alvarez, C Lizama - Journal of Mathematical Analysis and Applications, 2022 - Elsevier
We investigate the singular limit of a third-order abstract equation in time, in relation to the
complete second-order Cauchy problem on Banach spaces, where the principal operator is …

Boundary controllability for the 1D Moore–Gibson–Thompson equation

C Lizama, S Zamorano - Meccanica, 2023 - Springer
This article addresses the boundary controllability problem for a class of third order in time
PDE, known as Moore–Gibson–Thompson equation, with a control supported on the …

State-Space Approach to the Time-Fractional Maxwell's Equations under Caputo Fractional Derivative of an Electromagnetic Half-Space under Four Different …

EAN Al-Lehaibi, HM Youssef - Fractal & Fractional, 2024 - search.ebscohost.com
This paper introduces a new mathematical modelling method of a thermoelastic and
electromagnetic half-space in the context of four different thermoelastic theorems: Green …

Well-posedness and inverse problems for the nonlocal third-order acoustic equation with time-dependent nonlinearity

SR Fu, Y Yu - arxiv preprint arxiv:2411.08657, 2024 - arxiv.org
In this paper, we study the inverse problems of simultaneously determining a potential term
and a time-dependent nonlinearity for the nonlinear Moore-Gibson-Thompson equation with …