Existence of positive solutions for nonlinear four-point Caputo fractional differential equation with \(p\)-Laplacian

DOI10.1186/s13661-017-0807-8zbMath1378.34016OpenAlexW2617983524WikidataQ59525426 ScholiaQ59525426MaRDI QIDQ1678199

Yunhong Li, Heju Yang

Publication date: 14 November 2017

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-017-0807-8

zbMATH Keywords

positive solutionsmonotone iterative technique\(p\)-LaplacianCaputo fractional derivative

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Theoretical approximation of solutions to ordinary differential equations (34A45) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Fractional ordinary differential equations (34A08)

Related Items

Existence and uniqueness of solutions for fractional boundary value problems with \(p\)-Laplacian operator

Cites Work

• The eigenvalue for a class of singular \(p\)-Laplacian fractional differential equations involving the Riemann-Stieltjes integral boundary condition
• Three positive solutions for one-dimensional image-Laplacian problem with sign-changing weight
• Positive solutions for eigenvalue problems of fractional differential equation with generalized \(p\)-Laplacian
• Positive solutions of higher-order nonlinear multi-point fractional equations with integral boundary conditions
• The method of lower and upper solutions for mixed fractional four-point boundary value problem with \(p\)-Laplacian operator
• Positive solutions for boundary value problem of fractional differential equation with \(p\)-Laplacian operator
• Existence and iteration of positive solutions for third-order Sturm-Liouville boundary value problems with \(p\)-Laplacian
• An anti-periodic boundary value problem for the fractional differential equation with a \(p\)-Laplacian operator
• Multiple solutions for second-order three-point boundary value problems with \(p\)-Laplacian operator
• Existence and iteration of positive solutions to a class of Sturm-Liouville-like \(p\)-Laplacian boundary value problems
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Multiple positive solutions to a three-point boundary value problem with \(p\)-Laplacian
• Existence of a positive solution for one-dimensional singular \(p\)-Laplacian problems and its parameter dependence
• Multiple positive solutions for some multi-point boundary value problems with \(p\)-Laplacian
• Positive solutions for multi-point boundary value problems of fractional differential equations with p-Laplacian
• Multiple Solutions of Nonlinear Fractional Differential Equations with p-Laplacian Operator and Nonlinear Boundary Conditions
• Unnamed Item
• Unnamed Item
• Unnamed Item