Apriori estimates for fractional diffusion equation

DOI10.1007/s11590-018-1332-0zbMath1430.35039OpenAlexW2894150196WikidataQ129181507 ScholiaQ129181507MaRDI QIDQ2010135

Yanyan Li

Publication date: 3 December 2019

Published in: Optimization Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11590-018-1332-0

zbMATH Keywords

fractional porous media equationsfractional Laplacean

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) Fractional partial differential equations (35R11)

Cites Work

• A priori estimates for fractional nonlinear degenerate diffusion equations on bounded domains
• Entropy solution theory for fractional degenerate convection-diffusion equations
• A fractional porous medium equation
• Optimal control of fractional diffusion equation
• Fractional porous media equations: existence and uniqueness of weak solutions with measure data
• Finite and infinite speed of propagation for porous medium equations with nonlocal pressure
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Dynamical analysis of a fractional-order predator-prey model incorporating a prey refuge
• Finite difference method for a fractional porous medium equation
• Numerical modeling of fractional-order biological systems
• A survey of useful inequalities in fractional calculus
• Finite speed of propagation for a non-local porous medium equation
• Fractional Diffusion Equations and Anomalous Diffusion
• On a Leibnitz type formula for fractional derivatives
• Leibniz Rule for Fractional Derivatives Generalized and an Application to Infinite Series
• A fractional equation for anomalous diffusion in a randomly heterogeneous porous medium