Positive solutions of \(m\)-point boundary value problems for a class of nonlinear fractional differential equations

DOI10.1007/s12190-012-0626-0zbMath1296.34038OpenAlexW2474321003MaRDI QIDQ2511367

Xingqiu Zhang, Lin Wang

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/s12190-012-0626-0

zbMATH Keywords

positive solutionfixed point theoremfractional Green's functionfractional differential equation

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Singular nonlinear boundary value problems for ordinary differential equations (34B16) Fractional ordinary differential equations (34A08)

Related Items (11)

Multiple positive solutions for nonlocal boundary value problems of singular fractional differential equations ⋮ Existence of positive solutions of singular fractional differential equations with infinite-point boundary conditions ⋮ Positive solutions for singular semipositone fractional differential equation subject to multipoint boundary conditions ⋮ Eigenvalue intervals for nonlocal fractional order differential equations involving derivatives ⋮ POSITIVE SOLUTIONS OF HIGHER-ORDER NONLINEAR FRACTIONAL DIFFERENTIAL SYSTEMS WITH NONLOCAL BOUNDARY CONDITIONS ⋮ Existence and uniqueness of positive solutions for a class of singular fractional differential equation with infinite-point boundary value conditions ⋮ Positive solution for higher-order singular infinite-point fractional differential equation with \(p\)-Laplacian ⋮ Existence and uniqueness results for nonlocal integral boundary value problems for fractional differential equations ⋮ Positive solutions of a system for nonlinear singular higher-order fractional differential equations with fractional multi-point boundary conditions ⋮ Triple positive solutions for semipositone fractional differential equations m-point boundary value problems with singularities and p–q-order derivatives ⋮ Positive solutions for a class of singular fractional differential equation with infinite-point boundary value conditions

Cites Work

• Uniqueness of positive solutions for a class of fractional boundary value problems
• Positive solutions for a nonlocal fractional differential equation
• Multiple positive solutions to singular positone and semipositone Dirichlet-type boundary value problems of nonlinear fractional differential equations
• Positive solutions for fractional four-point boundary value problems
• Multiple positive solutions for the boundary value problem of a nonlinear fractional differential equation
• Existence of positive solutions of the boundary value problem for nonlinear fractional differential equations
• Existence of a positive solution to a class of fractional differential equations
• Positive solutions for nonlinear \(n\)th-order singular eigenvalue problem with nonlocal conditions
• Nonlocal conjugate type boundary value problems of higher order
• Existence of positive solution for singular fractional differential equation
• The positive properties of the Green function for Dirichlet-type boundary value problems of nonlinear fractional differential equations and its application
• On positive solutions of a nonlocal fractional boundary value problem
• Positive solutions of \(m\)-point boundary value problems
• Positive solutions for boundary value problem of nonlinear fractional differential equation
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