Existence and uniqueness of positive solutions for a class of fractional differential equation with integral boundary conditions

DOI10.15388/NA.2017.2.2zbMath1420.34011WikidataQ129591979 ScholiaQ129591979MaRDI QIDQ4968120

Haixing Feng, Cheng-Bo Zhai

Publication date: 12 July 2019

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

zbMATH Keywords

positive solutionexistence and uniquenessfractional differential equationintegral boundary value conditionfixed point theorems for sum operator

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 (6)

On a new fixed point theorem with an application on a coupled system of fractional differential equations ⋮ Fixed point theorems for a class of nonlinear sum-type operators and application in a fractional differential equation ⋮ Some new existence and uniqueness results for an integral boundary value problem of Caputo fractional differential equations ⋮ Fixed point results in set \(P_{h,e}\) with applications to fractional differential equations ⋮ Existence and uniqueness of positive solutions for a new class of coupled system via fractional derivatives ⋮ EXISTENCE AND UNIQUENESS OF POSITIVE SOLUTION FOR NONLINEAR FRACTIONAL <i>Q</i>-DIFFERENCE EQUATION WITH INTEGRAL BOUNDARY CONDITIONS

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Two positive solutions for \((n - 1,1)\)-type semipositone integral boundary value problems for coupled systems of nonlinear fractional differential equations
• Positive solutions for a class of boundary value problems with fractional \(q\)-differences
• A sum operator equation and applications to nonlinear elastic beam equations and Lane-Emden-Fowler equations
• On discrete sequential fractional boundary value problems
• Existence and uniqueness of strictly nondecreasing and positive solution for a fractional three-point boundary value problem
• Fractional order boundary value problem with integral boundary conditions involving Pettis integral
• Positive solutions for boundary value problems of nonlinear fractional differential equation
• Theory of fractional functional differential equations
• Positive solutions to singular boundary value problem for nonlinear fractional differential equation
• Unique positive solutions for fractional differential equation boundary value problems
• Existence and nonexistence results of impulsive first-order problem with integral boundary condition
• Boundary value problem for a coupled system of nonlinear fractional differential equations
• A singular boundary value problem for nonlinear differential equations of fractional order
• Existence and uniqueness of positive and nondecreasing solutions for a class of singular fractional boundary value problems
• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• A sum operator method for the existence and uniqueness of positive solutions to Riemann-Liouville fractional differential equation boundary value problems
• Positive solutions for a class of fractional differential equations with integral boundary conditions
• Uniqueness of positive solutions for several classes of sum operator equations and applications
• Existence and nonexistence results for a class of fractional boundary value problems
• Positive solutions for boundary value problem of nonlinear fractional differential equation

This page was built for publication: Existence and uniqueness of positive solutions for a class of fractional differential equation with integral boundary conditions