Positive solutions for multi-point boundary value problems of fractional differential equations with p-Laplacian

DOI10.1002/mma.3579zbMath1338.34018OpenAlexW1593599766MaRDI QIDQ2804392

Anbin Qi, Yunhong Li

Publication date: 29 April 2016

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.3579

zbMATH Keywords

\(p\)-Laplacianmultiple positive solutionsfive functionals fixed-point theorem

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Applications of operator theory to differential and integral equations (47N20) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Fractional ordinary differential equations (34A08)

Related Items (21)

Existence of an approximate solution for a class of fractional multi-point boundary value problems with the derivative term ⋮ Unique positive solutions for boundary value problem of p-Laplacian fractional differential equation with a sign-changed nonlinearity ⋮ On the solvability and approximate solution of a one-dimensional singular problem for a \(p\)-Laplacian fractional differential equation ⋮ Multiplicity of positive solutions for fractional differential equation with \(p\)-Laplacian boundary value problems ⋮ Existence results for sequential fractional integro-differential equations with nonlocal multi-point and strip conditions ⋮ Existence of positive solutions for nonlinear four-point Caputo fractional differential equation with \(p\)-Laplacian ⋮ Positive solutions for a class of fractional differential equations with infinite-point boundary conditions on infinite intervals ⋮ Solutions and stability for \(p\)-Laplacian differential problems with mixed type fractional derivatives ⋮ Analysis of p‐Laplacian Hadamard fractional boundary value problems with the derivative term involved in the nonlinear term ⋮ Existence of positive solutions of a class of multi-point boundary value problems for \(p\)-Laplacian fractional differential equations with singular source terms ⋮ Existence criteria of solutions for a fractional nonlocal boundary value problem and degeneration to corresponding integer-order case ⋮ Existence of positive solutions for fractional differential equation involving integral boundary conditions with \(p\)-Laplacian operator ⋮ Sequential fractional differential equations and unification of anti-periodic and multi-point boundary conditions ⋮ Eigenvalue problems for a class of nonlinear Hadamard fractional differential equations with p-Laplacian operator ⋮ Existence and nonexistence of positive solutions for fractional three-point boundary value problems with a parameter ⋮ Decay estimates for evolutionary equations with fractional time-diffusion ⋮ Some properties of solutions to multiterm fractional boundary value problems with \(p\)-Laplacian operator ⋮ Existence and uniqueness of positive solutions of a kind of multi-point boundary value problems for nonlinear fractional differential equations with \(p\)-Laplacian operator ⋮ Solvability of mixed Hilfer fractional functional boundary value problems with \(p\)-Laplacian at resonance ⋮ Existence results for multi-point boundary value problem to singular fractional differential equations with a positive parameter ⋮ Positive solutions for m-point p-Laplacian fractional boundary value problem involving Riemann Liouville fractional integral boundary conditions on the half line

Cites Work

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• Multiple positive solutions for some multi-point boundary value problems with \(p\)-Laplacian
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