Positive solutions for a fractional boundary value problem with \(p\)-Laplacian operator

DOI10.1007/s12190-012-0594-4zbMath1296.34016OpenAlexW1997232898MaRDI QIDQ2511145

Jiafa Xu, Zhongli Wei, You-zheng Ding

Publication date: 5 August 2014

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12190-012-0594-4

zbMATH Keywords

positive solution\(p\)-Laplacian operatorfractional boundary value problemRiemann-Liouville derivativeKrasnoselskii-zabreiko fixed point theorem

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Green's functions for ordinary differential equations (34B27) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Fractional ordinary differential equations (34A08)

Related Items (4)

Existence of solutions to boundary value problem of a class of nonlinear fractional differential equations ⋮ Extremal solutions for \(p\)-Laplacian fractional integro-differential equation with integral conditions on infinite intervals via iterative computation ⋮ Positive solution for higher-order singular infinite-point fractional differential equation with \(p\)-Laplacian ⋮ Existence results of fractional differential equations with irregular boundary conditions and \(p\)-Laplacian operator

Cites Work

• Unnamed Item
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• Uniqueness of positive solutions for a class of fractional boundary value problems
• Positive solution to nonzero boundary values problem for a coupled system of nonlinear fractional differential equations
• Dynamical analysis of fractional-order modified logistic model
• A boundary value problem for fractional differential equation with \(p\)-Laplacian operator at resonance
• Initial value problems for fractional differential equations involving Riemann-Liouville sequential fractional derivative
• The nonlocal Cauchy problem for nonlinear fractional integrodifferential equations in Banach spaces
• Existence of concave positive solutions for boundary value problem of nonlinear fractional differential equation with \(p\)-Laplacian operator
• Fractional calculus models of complex dynamics in biological tissues
• On initial and boundary value problems for fractional order mixed type functional differential inclusions
• The positive properties of the Green function for Dirichlet-type boundary value problems of nonlinear fractional differential equations and its application
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Existence of three positive solutions for some second-order boundary value problems
• Upper and lower solutions method for a class of singular fractional boundary value problems with \(p\)-Laplacian operator
• Positive solutions of arbitrary order nonlinear fractional differential equations with advanced arguments
• Existence and uniqueness of positive solutions to three-point boundary value problems for second order impulsive differential equations
• On a Nonlinear Parabolic Problem Arising in Some Models Related to Turbulent Flows
• Approximation of a nonlinear elliptic problem arising in a non-Newtonian fluid flow model in glaciology
• Positive solutions for boundary value problem of nonlinear fractional differential equation

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