On some fractional Green’s functions

DOI10.1063/1.3119484zbMath1215.35015OpenAlexW1968531808MaRDI QIDQ3650521

Reinaldo Charnet, R. Figueiredo Camargo, Edmundo Capelas de Oliveira

Publication date: 14 December 2009

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

Full work available at URL: https://doi.org/10.1063/1.3119484

zbMATH Keywords

Laplace transformsFourier transformsreaction-diffusion systemswave equationsGreen's function methods

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Fundamental solutions to PDEs (35A08) Green's functions for elliptic equations (35J08)

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Cites Work

• Unnamed Item
• Unnamed Item
• A certain class of Laplace transforms with applications to reaction and reaction-diffusion equations
• Fractional order dynamics in a GA planner
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• The fundamental solutions for the fractional diffusion-wave equation
• Response characteristics of a fractional oscillator
• The world of the complex Ginzburg-Landau equation
• Characterizations and simulations of a class of stochastic processes to model anomalous diffusion
• Differentiation to fractional orders and the fractional telegraph equation
• The fundamental solution and numerical solution of the Riesz fractional advection-dispersion equation
• Vibrations of an infinite viscoelastic layer with a dissipative memory
• Fractional variational calculus in terms of Riesz fractional derivatives
• Homogeneous fractional embeddings
• The random walk's guide to anomalous diffusion: A fractional dynamics approach

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