Existence of positive solutions for a generalized and fractional ordered Thomas-Fermi theory of neutral atoms

DOI10.1186/s13662-015-0677-2zbMath1422.34031OpenAlexW2177683616WikidataQ59436368 ScholiaQ59436368MaRDI QIDQ1991043

Shurong Sun, Wenquan Feng, Ying Sun

Publication date: 29 October 2018

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-015-0677-2

zbMATH Keywords

positive solutionsingular boundary value problemfractional differential equationThomas-Fermi theory

Mathematics Subject Classification ID

Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Singular nonlinear boundary value problems for ordinary differential equations (34B16) Fractional ordinary differential equations (34A08)

Related Items (3)

Existence of positive solutions for two-point boundary value problems of nonlinear finite discrete fractional differential equations and its application ⋮ Accurate solution of the Thomas-Fermi equation using the fractional order of rational Chebyshev functions ⋮ Existence and uniqueness results for a class of singular fractional boundary value problems with the \(p\)-Laplacian operator via the upper and lower solutions approach

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Existence and uniqueness of solutions for a coupled system of multi-term nonlinear fractional differential equations
• Selected problems of fractional systems theory.
• Existence of solutions for a singular system of nonlinear fractional differential equations
• Positive solutions for boundary value problems of nonlinear fractional differential equations
• The existence of multiple positive solutions for boundary value problems of nonlinear fractional differential equations
• Upper and lower solutions method and a second order three-point singular boundary value problem
• Positive solution to a singular \(p\)-Laplacian BVP with sign-changing nonlinearity involving derivative on time scales
• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• An upper and lower solution approach for a generalized Thomas-Fermi theory of neutral atoms
• The existence of solutions for boundary value problem of fractional hybrid differential equations
• On the rational second kind Chebyshev pseudospectral method for the solution of the Thomas-Fermi equation over an infinite interval
• Properties of positive solutions to a class of four-point boundary value problem of Caputo fractional differential equations with a parameter
• On the controllability of fractional dynamical systems
• Positive solutions to fractional boundary value problems with nonlinear boundary conditions

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