Boundary value problem for a loaded fractional diffusion equation

DOI10.55730/1300-0098.3450zbMath1518.35644OpenAlexW4385142125MaRDI QIDQ6134937

Minzilya T. Kosmakova, Murat I. Ramazanov, A. V. Pskhu

Publication date: 25 July 2023

Published in: Turkish Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.55730/1300-0098.3450

zbMATH Keywords

integral equationfractional derivativefractional diffusion equationWright functionloaded equation

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Fractional partial differential equations (35R11)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Solutions of the main boundary value problems for the time-fractional telegraph equation by the Green function method
• The fundamental solutions for the fractional diffusion-wave equation
• Solution of a boundary value problem for a fractional partial differential equation
• Solution of the first boundary value problem for a fractional-order diffusion equation
• Solution of boundary value problems for the fractional diffusion equation by the Green function method
• Cauchy problem for fractional diffusion equations
• To solving the heat equation with fractional load
• Stabilization of solutions to the Cauchy problem for fractional diffusion-wave equation
• On a problem of heat equation with fractional load
• Fractional diffusion equation with discretely distributed differentiation operator
• Boundary behavior of the layer potentials for the time fractional diffusion equation in Lipschitz domains
• On the function whose Laplace-transform is $e^{-s^{α}}
• Partial fractional differential equations and some of their applications
• The fractional diffusion equation
• The first boundary-value problem for a fractional diffusion-wave equation in a non-cylindrical domain
• Fractional Differential Equations
• ON THE SOLUTION TO A TWO-DIMENSIONAL HEAT CONDUCTION PROBLEM IN A DEGENERATE DOMAIN

This page was built for publication: Boundary value problem for a loaded fractional diffusion equation