Existence of solution for a fractional advection dispersion equation in \(\mathbb{R}^N\)

DOI10.1016/j.apm.2014.02.002zbMath1429.65328OpenAlexW2017525358MaRDI QIDQ1632005

Quan-Guo Zhang, Hong-Rui Sun, Ya-Ning Li

Publication date: 12 December 2018

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2014.02.002

zbMATH Keywords

solutioncritical pointiterative techniquesymmetricfractional advection dispersion equationnonsymmetric

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Semilinear elliptic equations (35J61)

Related Items (4)

Existence of solutions for fractional stochastic impulsive neutral functional differential equations with infinite delay ⋮ On superlinear fractional advection dispersion equation in \(\mathbb R^N\) ⋮ On a fractional advection dispersion equation in \(\mathbb{R}^N\) involving a critical nonlinearity ⋮ Existence of solutions for fractional boundary value problems with a quadratic growth of fractional derivative

Cites Work

• Unnamed Item
• Unnamed Item
• Existence of solutions for a fractional boundary value problem via the mountain pass method and an iterative technique
• A semilinear elliptic PDE not in divergence form via variational methods
• Existence of solutions for a class of fractional boundary value problems via critical point theory
• Semilinear elliptic equations with dependence on the gradient via mountain-pass techniques.
• The concentration-compactness principle in the calculus of variations. The locally compact case. II
• On a class of nonlinear Schrödinger equations
• Fractals and fractional calculus in continuum mechanics
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Minimax theorems
• Variational solution of fractional advection dispersion equations on bounded domains in ℝd
• Variational formulation for the stationary fractional advection dispersion equation

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