An interpolation between the wave and diffusion equations through the fractional evolution equations Dirac like

DOI10.1063/1.2121167zbMath1111.35049OpenAlexW2015675738MaRDI QIDQ3438692

L. Vázquez, Teresa Pierantozzi

Publication date: 16 May 2007

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://eprints.ucm.es/id/eprint/12714/1/2005aninterpolation-25.pdf

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Fractional derivatives and integrals (26A33) PDEs in connection with quantum mechanics (35Q40)

Related Items (10)

Global existence and blow-up of generalized self-similar solutions for a space-fractional diffusion equation with mixed conditions ⋮ Unnamed Item ⋮ Unnamed Item ⋮ From Newton's equation to fractional diffusion and wave equations ⋮ Conservation laws and Hamilton's equations for systems with long-range interaction and memory ⋮ Fractional evolution Dirac-like equations: some properties and a discrete von Neumann-type analysis ⋮ Non-linear fractional field equations: weak non-linearity at power-law non-locality ⋮ From radiation and space exploration to the fractional calculus ⋮ Fractional heat equation and the second law of thermodynamics ⋮ FRACTIONAL FIELD THEORIES FROM MULTI-DIMENSIONAL FRACTIONAL VARIATIONAL PROBLEMS

Cites Work

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• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Fractionally coupled solutions of the diffusion equation.
• Fractional diffusion and wave equations
• On the solution of fractional evolution equations
• Fractional kinetic equations: solutions and applications
• Universality classes for asymptotic behavior of relaxation processes in systems with dynamical disorder: Dynamical generalizations of stretched exponential
• The random walk's guide to anomalous diffusion: A fractional dynamics approach

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