Existence of nontrivial solutions for a system of fractional advection-dispersion equations

DOI10.1007/s13398-018-0527-7zbMath1427.34011OpenAlexW2797109372WikidataQ130006148 ScholiaQ130006148MaRDI QIDQ2314648

Li Shan Liu, De-Xiang Ma, Yong-Hong Wu

Publication date: 29 July 2019

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13398-018-0527-7

zbMATH Keywords

weak solutioncritical point theoryvariational methodanomalous diffusionfractional advection-dispersion equation

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Fractional derivatives and integrals (26A33) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Fractional ordinary differential equations (34A08)

Related Items (6)

Ground state solutions of a fractional advection–dispersion equation ⋮ Solutions for a singular Hadamard-type fractional differential equation by the spectral construct analysis ⋮ Existence and uniqueness of positive solutions for a class of singular fractional differential equation with infinite-point boundary value conditions ⋮ Variational methods to the \(p\)-Laplacian type nonlinear fractional order impulsive differential equations with Sturm-Liouville boundary-value problem ⋮ Extremal solutions for a class of tempered fractional turbulent flow equations in a porous medium ⋮ EXISTENCE OF SOLUTIONS FOR A FRACTIONAL ADVECTION-DISPERSION EQUATION WITH IMPULSIVE EFFECTS VIA VARIATIONAL APPROACH

Cites Work

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