Positive solutions for singular nonlinear fractional differential equation with integral boundary conditions

DOI10.1186/s13661-015-0493-3zbMath1332.34010OpenAlexW2195568099WikidataQ59433572 ScholiaQ59433572MaRDI QIDQ903976

Hongdan Li, Li Shan Liu, Yong-Hong Wu

Publication date: 15 January 2016

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

Full work available at URL: https://doi.org/10.1186/s13661-015-0493-3

zbMATH Keywords

positive solutionmultiple positive solutionsfixed point theorem in conesingular fractional differential equationsRiemann-Stieltjes integral boundary value problem

Mathematics Subject Classification ID

Green's functions for ordinary differential equations (34B27) Applications of operator theory to differential and integral equations (47N20) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Singular nonlinear boundary value problems for ordinary differential equations (34B16) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Fractional ordinary differential equations (34A08)

Related Items (19)

A family of singular ordinary differential equations of the third order with an integral boundary condition ⋮ Iterative positive solutions for singular nonlinear fractional differential equation with integral boundary conditions ⋮ Existence of positive solutions for a singular nonlinear fractional differential equation with integral boundary conditions involving fractional derivatives ⋮ Fixed-point theorems for systems of operator equations and their applications to the fractional differential equations ⋮ Well posedness for a singular two dimensional fractional initial boundary value problem with Bessel operator involving boundary integral conditions ⋮ Unnamed Item ⋮ Existence and uniqueness of positive solutions for singular nonlinear fractional differential equation via mixed monotone operator method ⋮ Existence and uniqueness of solutions for systems of fractional differential equations with Riemann-Stieltjes integral boundary condition ⋮ Existence and uniqueness of nontrivial solutions to a system of fractional differential equations with Riemann-Stieltjes integral conditions ⋮ Existence and uniqueness of iterative positive solutions for singular Hammerstein integral equations ⋮ Uniqueness and existence of positive solutions for the fractional integro-differential equation ⋮ Existence of positive periodic solutions of some nonlinear fractional differential equations ⋮ Positive solutions to nonlinear fractional differential equations involving Stieltjes integrals conditions ⋮ Iterative unique positive solutions for singular p-Laplacian fractional differential equation system with several parameters ⋮ EXISTENCE OF POSITIVE SOLUTIONS FOR A SINGULAR FRACTIONAL NONLINEAR DIFFERENTIAL EQUATION WITH FRACTIONAL INTEGRAL BOUNDARY CONDITIONS ⋮ Iterative unique positive solutions for a new class of nonlinear singular higher order fractional differential equations with mixed-type boundary value conditions ⋮ EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR A FRACTIONAL DIFFERENTIAL EQUATION WITH MULTI-POINT BOUNDARY VALUE PROBLEMS ⋮ Unique iterative positive solutions for a singular \(p\)-Laplacian fractional differential equation system with infinite-point boundary conditions ⋮ The positive solutions of fractional differential equation with Riemann-Stieltjes integral boundary conditions

Cites Work

• Existence of positive solutions for nonlinear fractional functional differential equation
• Existence of positive solutions for a class of nonlinear fractional differential equations with integral boundary conditions and a parameter
• Nonlinear fractional differential equations with integral boundary value conditions
• Positive solutions for a nonlocal fractional differential equation
• Positive solutions for nonlinear \(n\)th-order singular eigenvalue problem with nonlocal conditions
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Positive solutions for a class of fractional differential equations with integral boundary conditions
• Finite-time stability analysis of fractional order time-delay systems: Gronwall's approach
• Positive solutions of nonlinear fractional differential equations with integral boundary value conditions
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Positive solutions for singular nonlinear fractional differential equation with integral boundary conditions