The existence of positive solutions for boundary value problem of the fractional Sturm-Liouville functional differential equation

DOI10.1155/2013/301560zbMath1295.34086OpenAlexW1968349713WikidataQ58915871 ScholiaQ58915871MaRDI QIDQ2015340

Shurong Sun, Hongling Lu, Zhenlai Han, Ya-Nan Li

Publication date: 23 June 2014

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/301560

zbMATH Keywords

fixed point index theoremGuo-Krasnoselskii fixed point theorem

Mathematics Subject Classification ID

Boundary value problems for functional-differential equations (34K10) Functional-differential equations with fractional derivatives (34K37)

Related Items (6)

Existence results for boundary value problems of fractional functional differential equations with delay ⋮ Singular boundary value problems of fractional differential equations with changing sign nonlinearity and parameter ⋮ Existence of a Positive Solution for a Boundary Value Problem of some Nonlinear Fractional Differential Equation ⋮ Existence and uniqueness of solution for Sturm-Liouville fractional differential equation with multi-point boundary condition via Caputo derivative ⋮ Multi-point boundary value problems for a class of Riemann-Liouville fractional differential equations ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Fractional boundary value problems with singularities in space variables
• Existence of positive solutions for nonlinear fractional functional differential equation
• The existence and uniqueness of solutions for a class of nonlinear fractional differential equations with infinite delay
• The existence of solutions to a system of discrete fractional boundary value problems
• Existence of positive solutions to a boundary value problem for a delayed nonlinear fractional differential system
• Positive solutions for boundary value problem of nonlinear fractional functional differential equations
• Positive solutions to boundary value problems of nonlinear fractional differential equations
• A class of fractional delay nonlinear integrodifferential controlled systems in Banach spaces
• Existence of solutions for a singular system of nonlinear fractional differential equations
• Fractional functional differential equations with causal operators in Banach spaces
• Eigenvalue criteria for existence of multiple positive solutions to boundary value problems of second-order delay differential equations
• Positive solutions for boundary value problems of nonlinear fractional differential equations
• The existence of multiple positive solutions for boundary value problems of nonlinear fractional differential equations
• Existence and uniqueness for \(p\)-type fractional neutral differential equations
• Existence and uniqueness for fractional neutral differential equations with infinite delay
• A survey on existence results for boundary value problems of nonlinear fractional differential equations and inclusions
• Existence of fractional neutral functional differential equations
• Existence of positive solutions for a functional fractional boundary value problem
• The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
• The existence and uniqueness of solutions to boundary value problems of fractional difference equations
• Three-point boundary value problems of fractional functional differential equations with delay
• Nonlinear fractional integro-differential equations on unbounded domains in a Banach space
• Existence results for fractional order functional differential equations with infinite delay
• Existence, nonexistence and multiplicity of positive solutions for nonlinear fractional differential equations
• Existence and uniqueness theorem for a class of delay differential equations with left and right Caputo fractional derivatives

This page was built for publication: The existence of positive solutions for boundary value problem of the fractional Sturm-Liouville functional differential equation