Some existence, uniqueness results on positive solutions for a fractional differential equation with infinite-point boundary conditions

DOI10.15388/NA.2017.4.10zbMath1420.34030OpenAlexW2743741024MaRDI QIDQ4968153

Li Wang, Cheng-Bo Zhai

Publication date: 12 July 2019

Published in: Nonlinear Analysis: Modelling and Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.15388/na.2017.4.10

zbMATH Keywords

positive solutionexistence and uniquenessRiemann-Liouville's fractional derivativeinfinite-point boundary value problem

Mathematics Subject Classification ID

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 (10)

Existence of solutions for fractional differential equations with infinite point boundary conditions at resonance ⋮ Unique positive solutions for boundary value problem of p-Laplacian fractional differential equation with a sign-changed nonlinearity ⋮ Existence of multiple positive solutions for a class of infinite-point singular p-Laplacian fractional differential equation with singular source terms ⋮ Positive solutions for a singular fractional nonlocal boundary value problem ⋮ Iterative analysis of the unique positive solution for a class of singular nonlinear boundary value problems involving two types of fractional derivatives with \(p\)-Laplacian operator ⋮ Positive solutions of m-point fractional boundary value problem on the half line ⋮ Properties of positive solutions for \(m\)-point fractional differential equations on an infinite interval ⋮ Iterative unique positive solutions for a new class of nonlinear singular higher order fractional differential equations with mixed-type boundary value conditions ⋮ Unique solutions for fractional \(q\)-difference boundary value problems via a fixed point method ⋮ Unique iterative positive solutions for a singular \(p\)-Laplacian fractional differential equation system with infinite-point boundary conditions

Cites Work

• Unnamed Item
• Unnamed Item
• The solution for a class of sum operator equation and its application to fractional differential equation boundary value problems
• Fixed point theorems for the sum of three classes of mixed monotone operators and applications
• Existence of positive solutions for singular higher-order fractional differential equations with infinite-point boundary conditions
• Existence and uniqueness of solutions for several BVPs of fractional differential equations with \(p\)-Laplacian operator
• Uniqueness of positive solutions for a class of fractional boundary value problems
• Existence of solutions for fractional Langevin equation with infinite-point boundary conditions
• Existence of positive solutions for fractional differential equation with nonlocal boundary condition
• Uniqueness of solution for boundary value problems for fractional differential equations
• Unique positive solutions for fractional differential equation boundary value problems
• Positive solutions for nonlinear operator equations and several classes of applications
• Iterative positive solutions for singular nonlinear fractional differential equation with integral boundary conditions
• Existence of solutions to a coupled system of fractional differential equations with infinite-point boundary value conditions at resonance
• Positive solution for higher-order singular infinite-point fractional differential equation with \(p\)-Laplacian
• A sum operator method for the existence and uniqueness of positive solutions to Riemann-Liouville fractional differential equation boundary value problems
• Properties of positive solutions to a class of four-point boundary value problem of Caputo fractional differential equations with a parameter
• Positive solutions for a class of singular fractional differential equation with infinite-point boundary value conditions
• The unique solution of a class of sum mixed monotone operator equations and its application to fractional boundary value problems
• Uniqueness of positive solutions of fractional boundary value problems with non-homogeneous integral boundary conditions
• Existence of positive solutions for singular fractional differential equations with infinite-point boundary conditions

This page was built for publication: Some existence, uniqueness results on positive solutions for a fractional differential equation with infinite-point boundary conditions