Solutions to the fractional diffusion-wave equation in a wedge

DOI10.2478/s13540-014-0158-4zbMath1312.35187OpenAlexW1984606190MaRDI QIDQ2347395

Yu. Z. Povstenko

Publication date: 27 May 2015

Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s13540-014-0158-4

zbMATH Keywords

Dirichlet boundary conditionNeumann boundary conditionfractional calculusMittag-Leffler functionsCaputo derivativediffusion-wave equation

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Heat equation (35K05) Wave equation (35L05) Mittag-Leffler functions and generalizations (33E12) Laplace transform (44A10) Fractional partial differential equations (35R11)

Related Items (1)

Finite-time attractivity for semilinear tempered fractional wave equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Time-fractional radial heat conduction in a cylinder and associated thermal stresses
• Complex nonlinear dynamics in subdiffusive activator-inhibitor systems
• Solutions to time-fractional diffusion-wave equation in cylindrical coordinates
• Fractional diffusion-wave problem in cylindrical coordinates
• Fractional optimal control problem of a distributed system in cylindrical coordinates
• Fractional derivatives for physicists and engineers. Volume I: Background and theory. Volume II: Applications
• Fractional relaxation-oscillation and fractional diffusion-wave phenomena.
• Mathematical modeling of different types of instabilities in time fractional reaction-diffusion systems
• 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
• Integrodifferential equation which interpolates the heat equation and the wave equation
• Time-fractional radial diffusion in hollow geometries
• Two-dimensional axisymmetric stresses exerted by instantaneous pulses and sources of diffusion in an infinite space in a case of time-fractional diffusion equation
• Non-axisymmetric solutions to time-fractional diffusion-wave equation in an infinite cylinder
• Fractional diffusion and wave equations
• Analysis of an axis-symmetric fractional diffusion-wave problem
• The fractional diffusion equation
• The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics
• Fractional Calculus: Integral and Differential Equations of Fractional Order
• The random walk's guide to anomalous diffusion: A fractional dynamics approach

This page was built for publication: Solutions to the fractional diffusion-wave equation in a wedge