Generalized Moore‐Gibson‐Thompson thermoelastic fractional derivative model without singular kernels for an infinite orthotropic thermoelastic body with temperature‐dependent properties

DOI10.1002/zamm.202100533OpenAlexW4223537952MaRDI QIDQ6192691

Unnamed Author, 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.202100533

Mathematics Subject Classification ID

General theory for ordinary differential equations (34Axx) Coupling of solid mechanics with other effects (74Fxx) Integral transforms, operational calculus (44Axx)

Cites Work

• Unnamed Item
• Unnamed Item
• On the Green-Naghdi type III heat conduction model
• On the analyticity of the MGT-viscoelastic plate with heat conduction
• A method for the numerical inversion of Laplace transforms
• Moore-Gibson-Thompson theory for thermoelastic dielectrics
• Ill-posed problems in thermomechanics
• Thermoelasticity without energy dissipation
• A note on the uniqueness of solution in the linear theory of thermoelasticity without energy dissipation
• Multiple (multiindex) Mittag-Leffler functions and relations to generalized fractional calculus
• A new study on the mathematical modelling of human liver with Caputo-Fabrizio fractional derivative
• Study of composite fractional relaxation differential equation using fractional operators with and without singular kernels and special functions
• A new fractional HRSV model and its optimal control: a non-singular operator approach
• On uniqueness and instability for some thermomechanical problems involving the Moore-Gibson-Thompson equation
• Analysis of a Moore-Gibson-Thompson thermoelastic problem
• Why fractional derivatives with nonsingular kernels should not be used
• A generalized dynamical theory of thermoelasticity
• Thermoelasticity and Irreversible Thermodynamics
• A re-examination of the basic postulates of thermomechanics
• An Improved Method for Numerical Inversion of Laplace Transforms
• Numerical Inversion of Laplace Transforms: An Efficient Improvement to Dubner and Abate's Method
• Numerical inversion for Laplace transforms of functions with discontinuities
• 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
• Thermoelasticity of Moore–Gibson–Thompson type with history dependence in the temperature
• Effect of harmonically varying heat on FG nanobeams in the context of a nonlocal two-temperature thermoelasticity theory
• A new fractional model and optimal control of a tumor-immune surveillance with non-singular derivative operator

This page was built for publication: Generalized Moore‐Gibson‐Thompson thermoelastic fractional derivative model without singular kernels for an infinite orthotropic thermoelastic body with temperature‐dependent properties