Fractional-order generalized thermoelastic diffusion theory

DOI10.1007/s10483-017-2230-9zbMath1373.74031OpenAlexW2621583636MaRDI QIDQ1674129

Chunbao Xiong, Yanbo Niu

Publication date: 1 November 2017

Published in: AMM. Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-017-2230-9

zbMATH Keywords

Laplace transformfractional calculusgeneralized thermoelastic diffusiongeneralized variational principle

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Thermal effects in solid mechanics (74F05) Fractional partial differential equations (35R11)

Related Items (4)

Investigation on the generalized thermoelastic-diffusive problem with variable properties in three different memory-dependent effect theories ⋮ Fractional-order rate-dependent thermoelastic diffusion theory based on new definitions of fractional derivatives with non-singular kernels and the associated structural transient dynamic responses analysis of sandwich-like composite laminates ⋮ New existence and stability results for fractional Langevin equation with three-point boundary conditions ⋮ Memory response on wave propagation in a micropolar magneto-thermo-viscoelastic half-space

Cites Work

• Unnamed Item
• The theory of generalized thermoelastic diffusion
• The influence of diffusion on generalized thermoelastic problems of infinite body with a cylindrical cavity
• Variational principles for generalized thermodiffusion theory in pyroelectricity
• Propagation of Rayleigh waves on free surface of transversely isotropic generalized thermoelastic diffusion
• A method for the numerical inversion of Laplace transforms
• Two-dimensional interactions due to moving load in generalized thermoelastic solid with diffusion
• Existence and uniqueness of solutions of initial value problems for nonlinear fractional differential equations
• Anomalous diffusion modeling by fractal and fractional derivatives
• Boundary value problem for a coupled system of nonlinear fractional differential equations
• Thermoelasticity
• Thermoelasticity without energy dissipation
• On Mittag-Leffler-type functions in fractional evolution processes
• A two-dimensional generalized thermoelastic diffusion problem for a half-space
• Generalized variational principles for thermopiezoelectricity
• Fractional derivative anomalous diffusion equation modeling prime number distribution
• On thermoelastic diffusion thin plate theory
• A half-space problem in the theory of generalized thermoelastic diffusion
• Variational principles for linear elastodynamics
• Exact solutions of multi-term fractional diffusion-wave equations with Robin type boundary conditions
• Time-space fabric underlying anomalous diffusion
• A generalized dynamical theory of thermoelasticity
• Algorithms for the fractional calculus: a selection of numerical methods
• On fractional thermoelasticity
• Positive solutions for boundary value problem of nonlinear fractional differential equation

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