Thermodiffusion with two time delays and Kernel functions

DOI10.1177/1081286516676870zbMath1391.74057OpenAlexW2776166379MaRDI QIDQ4564850

Ahmed S. El-Karamany, Alaa A. El-Bary, Magdy A. Ezzat

Publication date: 7 June 2018

Published in: Mathematics and Mechanics of Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1177/1081286516676870

zbMATH Keywords

numerical resultsLaplace transformstime-delaygeneralized thermoelasticitykernel functionsmemory-dependent derivative

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Thermal effects in solid mechanics (74F05)

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Cites Work

• Theory of fractional order in electro-thermoelasticity
• The uniqueness and reciprocity theorems for generalized thermo-viscoelasticity with two relaxation times
• The theory of generalized thermoelastic diffusion
• Some theorems on generalized thermoelastic diffusion
• Surpassing the fractional derivative: concept of the memory-dependent derivative
• Theory of fractional order in generalized thermoelectric MHD
• A method for the numerical inversion of Laplace transforms
• Fractional order theory of thermoelasticity
• The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• The dependence of the modulus of elasticity on reference temperature in generalized thermoelasticity with thermal relaxation.
• A novel generalized thermoelasticity model based on memory-dependent derivative
• Fractional order heat conduction law in magneto-thermoelasticity involving two temperatures
• Nonclassical dynamical thermoelasticity
• A half-space problem in the theory of generalized thermoelastic diffusion
• A generalized dynamical theory of thermoelasticity
• On fractional thermoelasticity
• Application of fractional order theory of thermoelasticity to a 1D problem for a half-space
• Variational Principles in Irreversible Thermodynamics with Application to Viscoelasticity
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