Multiple positive solutions for a coupled system of fractional multi-point BVP with \(p\)-Laplacian operator

DOI10.1186/s13662-017-1221-3zbMath1422.34050OpenAlexW2625717347WikidataQ59525310 ScholiaQ59525310MaRDI QIDQ1631106

Dandan Yang, Chuanzhi Bai, Dapeng Xie, Liu Yang

Publication date: 5 December 2018

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

Full work available at URL: https://doi.org/10.1186/s13662-017-1221-3

zbMATH Keywords

coneGreen's functionpositive solutionsLaplacian operatorfractional differential equation

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Applications of operator theory to differential and integral equations (47N20) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Fractional ordinary differential equations (34A08)

Related Items (8)

Multiplicity of positive solutions for Hadamard fractional differential equations with \(p\)-Laplacian operator ⋮ Positive solutions for a system of nonlinear fractional nonlocal boundary value problems with parameters and \(p\)-Laplacian operator ⋮ Existence of positive solutions for a high order fractional differential equation integral boundary value problem with changing sign nonlinearity ⋮ Positive solutions for a class of nonlinear Hadamard fractional differential equations with a parameter ⋮ Multiple positive solutions for a coupled system of \(p\)-Laplacian fractional order three-point boundary value problems ⋮ Existence of positive solutions for systems of nonlinear fractional differential equation with p-Laplacian ⋮ Solvability for a class of nonlinear Hadamard fractional differential equations with parameters ⋮ On a coupled system of fractional sum-difference equations with \(p\)-Laplacian operator

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Nonexistence of positive solutions for a system of coupled fractional boundary value problems
• Positive solutions for eigenvalue problems of fractional differential equation with generalized \(p\)-Laplacian
• Multiple positive solutions for nonlinear boundary value problem of fractional order differential equation with the Riemann-Liouville derivative
• The existence of positive solutions for \(p\)-Laplacian boundary value problems at resonance
• The method of lower and upper solutions for mixed fractional four-point boundary value problem with \(p\)-Laplacian operator
• Existence and multiplicity of positive solutions for a system of fractional boundary value problems
• Positive solutions to a system of semipositone fractional boundary value problems
• Multiple monotone positive solutions of integral BVPs for a higher-order fractional differential equation with monotone homomorphism
• Even number of positive solutions for the system of \((p,q)\)-Laplacian fractional order two-point boundary value problems
• Existence of positive solutions for system of \(p\)-Laplacian fractional order boundary value problems
• Positive solutions of multi-point boundary value problem of fractional differential equation
• Topological methods on solvability, multiplicity and bifurcation of a nonlinear fractional boundary value problem
• Multiple positive solutions to systems of nonlinear semipositone fractional differential equations with coupled boundary conditions

This page was built for publication: Multiple positive solutions for a coupled system of fractional multi-point BVP with \(p\)-Laplacian operator