Multidimensional Time Fractional Diffusion Equation

DOI10.1007/978-3-319-59384-5_10zbMath1408.35212OpenAlexW2756256642MaRDI QIDQ4562844

Milton Ferreira, Nelson Vieira

Publication date: 18 December 2018

Published in: Integral Methods in Science and Engineering, Volume 1 (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10773/18424

zbMATH Keywords

fundamental solutionfractional diffusion equationthermoelasticity theory

Mathematics Subject Classification ID

Thermodynamics in solid mechanics (74A15) Thermal effects in solid mechanics (74F05) PDEs in connection with mechanics of deformable solids (35Q74) Fractional partial differential equations (35R11)

Cites Work

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• The Wright functions as solutions of the time-fractional diffusion equation.
• Integrodifferential equation which interpolates the heat equation and the wave equation
• Two-dimensional axisymmetric stresses exerted by instantaneous pulses and sources of diffusion in an infinite space in a case of time-fractional diffusion equation
• A generalized dynamical theory of thermoelasticity
• Fractional diffusion and wave equations
• Multi-dimensional fractional wave equation and some properties of its fundamental solution
• The fractional diffusion equation
• The fundamental solution of the space-time fractional diffusion equation
• Multi–dimensional solutions of space–time–fractional diffusion equations
• Multidimensional solutions of time-fractional diffusion-wave equations
• Fractional wave equation and damped waves
• Mittag-Leffler Functions, Related Topics and Applications
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