Solvability of a three-point fractional nonlinear boundary value problem

DOI10.1007/S12591-012-0125-7zbMath1256.34003OpenAlexW2003195786MaRDI QIDQ691351

M. C. Fu

Publication date: 30 November 2012

Published in: Differential Equations and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12591-012-0125-7

zbMATH Keywords

Banach contraction principlenontrivial solutionnonlocal conditionLeray-Schauder nonlinear alternativefractional Caputo derivative

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Applications of operator theory to differential and integral equations (47N20) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Fractional ordinary differential equations (34A08)

Related Items (15)

Positive solutions for Hadamard differential systems with fractional integral conditions on an unbounded domain ⋮ Boundary value problems for fractional difference equations with three-point fractional sum boundary conditions ⋮ On some existence and uniqueness results for a class of equations of order \(0 < \alpha \leq 1\) on arbitrary time scales ⋮ On the numerical solution of some differential equations with nonlocal integral boundary conditions via Haar wavelet ⋮ Positive solutions for a system of fractional differential equations with nonlocal integral boundary conditions ⋮ Positive solutions for fractional differential systems with nonlocal Riemann-Liouville fractional integral boundary conditions ⋮ A discussion on the existence and uniqueness analysis for the coupled two-term fractional differential equations ⋮ Unbounded solution for a fractional boundary value problem ⋮ Solvability of a fractional boundary value problem with fractional derivative condition ⋮ Boundary value problems for a new class of three-point nonlocal Riemann-Liouville integral boundary conditions ⋮ Positive solutions for fractional differential equations with three-point multi-term fractional integral boundary conditions ⋮ Initial value problem of fractional order ⋮ Existence results for fractional difference equations with three-point fractional sum boundary conditions ⋮ Some Ostrowski type inequalities for p-convex functions via generalized fractional integrals ⋮ On positive solution to multi-point fractional h-sum eigenvalue problems for caputo fractional h-difference equations

Cites Work

• Unnamed Item
• Unnamed Item
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• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On right fractional calculus
• Positive solutions for boundary value problems of nonlinear fractional differential equations
• Recent history of fractional calculus
• The existence of multiple positive solutions for boundary value problems of nonlinear fractional differential equations
• Multiple positive solutions for the boundary value problem of a nonlinear fractional differential equation
• Positive solutions of nonlinear fractional boundary value problems using Adomian decomposition method
• Existence of a solution for a boundary value problem of a nonlinear fractional differential equation
• Fractional differential equations in electrochemistry
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Existence and uniqueness of positive solutions to \(m\)-point boundary value problem for nonlinear fractional differential equation
• A Theoretical Basis for the Application of Fractional Calculus to Viscoelasticity
• On fractional calculus and fractional multipoles in electromagnetism
• Positive solutions for boundary value problem of nonlinear fractional differential equation

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