Fractional derivative Moore‐Gibson‐Thompson heat equation without singular kernel for a thermoelastic medium with a cylindrical hole and variable properties

DOI10.1002/zamm.202000327OpenAlexW3199847984MaRDI QIDQ6151828

Ahmed E. Abouelregal

Publication date: 11 March 2024

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/zamm.202000327

Mathematics Subject Classification ID

Functions of one variable (26Axx) Qualitative properties of solutions to partial differential equations (35Bxx) Coupling of solid mechanics with other effects (74Fxx)

Related Items (1)

Thermo-viscoelastic transversely isotropic rotating hollow cylinder based on three-phase lag thermoelastic model and fractional Kelvin-Voigt type

Cites Work

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• The Moore-Gibson-Thompson equation with memory in the critical case
• Moore-Gibson-Thompson equation with memory. II: General decay of energy.
• Fractional derivatives for physicists and engineers. Volume I: Background and theory. Volume II: Applications
• A method for the numerical inversion of Laplace transforms
• Magnetophotothermal interaction in a rotating solid cylinder of semiconductor silicone material with time dependent heat flow
• Thermal stresses -- advanced theory and applications
• Ill-posed problems in thermomechanics
• Thermoelasticity
• Study of the thermoelastic interactions in an elastic half space subjected to a ramp-type heating -- a state-space approach
• On the notion of fractional derivative and applications to the hysteresis phenomena
• Numerical analysis of a thermoelastic dielectric problem arising in the Moore-Gibson-Thompson theory
• Optimal scalar products in the Moore-Gibson-Thompson equation
• A generalized dynamical theory of thermoelasticity
• On the entropy inequality
• Thermoelasticity and Irreversible Thermodynamics
• Thermoelasticity with Finite Wave Speeds
• Thermoelasticity with Second Sound: A Review
• An abstract semigroup approach to the third‐order Moore–Gibson–Thompson partial differential equation arising in high‐intensity ultrasound: structural decomposition, spectral analysis, exponential stability
• Modified fractional thermoelasticity model with multi-relaxation times of higher order: application to spherical cavity exposed to a harmonic varying heat
• A novel model of nonlocal thermoelasticity with time derivatives of higher order
• Moore–Gibson–Thompson thermoelasticity
• ON A GLOBAL ENTROPY PRODUCTION INEQUALITY

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