New fractional model for 2 dimensional half space problem with in the theory of generalized thermoelastic diffusion

DOI10.1002/zamm.202100231MaRDI QIDQ6151839

Eman M. Hussein

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)

zbMATH Keywords

Laplace transformHankel transformFourier series solutionaxisymmetric temperature distribution

Mathematics Subject Classification ID

Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Thermal effects in solid mechanics (74F05) Applications of fractional calculus in solid mechanics (74S40)

Cites Work

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• A two-dimensional problem for a half-space in magneto-thermoelasticity with thermal relaxation
• The theory of generalized thermoelastic diffusion
• Effect of the porosity on a porous plate saturated with a liquid and subjected to a sudden change in temperature
• A method for the numerical inversion of Laplace transforms
• Fractional order theory of thermoelasticity
• A half-space problem in the theory of generalized thermoelastic diffusion
• A new dissipation model based on memory mechanism
• A mathematical model of circadian rhythms synchronization using fractional differential equations system of coupled van der Pol oscillators
• Vibrations of an infinite viscoelastic layer with a dissipative memory
• Two-dimensional problem for a thick plate with axi-symmetric distribution in the theory of generalized thermoelastic diffusion
• One-dimensional problem for infinitely long annular cylinder in the context of fractional order theory of thermoelasticity

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