A modified Moore-Gibson-Thompson fractional model for mass diffusion and thermal behavior in an infinite elastic medium with a cylindrical cavity

• DOI: 10.3934/math.20241063
• Publication Date: 2024-07-10T11:18:32Z
• Authors: Yazeed Alhassan; Mohammed Alsubhi; Ahmed E. Abouelregal
• Keywords: Thermoelastic damping; Heat equation

<p>This article discussed a new fractional model that included governing equations describing mass and thermal diffusion in elastic materials. We formulated the using Atangana-Baleanu-Caputo (ABC) derivative Moore-Gibson-Thomson (MGT) equation. In addition to operators, this improvement incorporating temperature relaxation periods into Green Naghdi (GN-Ⅲ). To verify proposed analyze effects of interaction between diffusion, an infinite thermoelastic medium with cylindrical hole was considered. analyzed problem under boundary conditions where concentration remained constant, fluctuated decreased, surrounding cavity free from any external forces. applied Laplace transform techniques Mathematica software generate calculations numerical results for various field variables. then compared obtained those previous relevant models. have graphically depicted extensively examined evaluated them understand relationship system.</p>