Time-fractional thermoelasticity problem for a sphere subjected to the heat flux

DOI10.1016/j.amc.2014.12.073zbMath1338.74033OpenAlexW1985997247MaRDI QIDQ299989

Yu. Z. Povstenko

Publication date: 23 June 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2014.12.073

zbMATH Keywords

Mittag-Leffler functionfractional calculusthermal stressesnon-Fourier heat conduction

Mathematics Subject Classification ID

Related Items (3)

A novel numerical inverse technique for multi-parameter time fractional radially symmetric anomalous diffusion problem with initial singularity ⋮ On boundary value problems for impulsive fractional differential equations ⋮ An \(\alpha \)-robust finite difference method for a time-fractional radially symmetric diffusion problem

Cites Work

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• Theories of thermal stresses based on space-time-fractional telegraph equations
• Theory of fractional order in electro-thermoelasticity
• Central symmetric solution to the Neumann problem for a time-fractional diffusion-wave equation in a sphere
• Fractional derivatives for physicists and engineers. Volume I: Background and theory. Volume II: Applications
• Stability analysis and limit cycle in fractional system with Brusselator nonlinearities
• Fractional relaxation-oscillation and fractional diffusion-wave phenomena.
• Fractional order theory of thermoelasticity
• Fractional dynamics. Applications of fractional calculus to dynamics of particles, fields and media
• Fractals and fractional calculus in continuum mechanics
• Thermoelasticity without energy dissipation
• Fractional order heat conduction law in magneto-thermoelasticity involving two temperatures
• Non-axisymmetric solutions to time-fractional diffusion-wave equation in an infinite cylinder
• Fractional Calculus: Integral and Differential Equations of Fractional Order
• Fractional heat conduction equation and associated thermal stresses in an infinite solid with spherical cavity
• Fractional Calculus with Applications in Mechanics

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