Positive solutions of the three-point boundary value problem for fractional-order differential equations with an advanced argument

DOI10.1186/1687-1847-2011-2zbMath1268.34158OpenAlexW2124303774WikidataQ59265543 ScholiaQ59265543MaRDI QIDQ1951022

Lihong Zhang, Guotao Wang, Sotiris K. Ntouyas

Publication date: 28 May 2013

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1847-2011-2

zbMATH Keywords

conepositive solutionfractional differential equationsthree-point boundary value problemGuo-Krasnosel'skii fixed point theorem

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Boundary value problems for functional-differential equations (34K10) Functional-differential equations with fractional derivatives (34K37)

Related Items (15)

Existence and stability of the solutions for systems of nonlinear fractional differential equations with deviating arguments ⋮ Positive solutions of three-point fractional sum boundary value problem for Caputo fractional difference equations via an argument with a shift ⋮ Boundary value problem of a nonlinear Langevin equation with two different fractional orders and impulses ⋮ Existence results for nonlinear fractional differential equations with closed boundary conditions and impulses ⋮ Positive solutions to singular fractional differential system with coupled boundary conditions ⋮ A coupled system of nonlinear fractional differential equations with multipoint fractional boundary conditions on an unbounded domain ⋮ Existence of solutions for nonlinear impulsive fractional differential equations of order \(\alpha \in (2, 3\) with nonlocal boundary conditions] ⋮ Multiple positive solutions for a fractional boundary value problem with fractional integral deviating argument ⋮ Eigenvalue problem for nonlinear fractional differential equations with integral boundary conditions ⋮ Application of fixed-point index theory for a nonlinear fractional boundary value problem with an advanced argument ⋮ Unnamed Item ⋮ Eigenvalue problem for nonlinear elastic beam equation of fractional order ⋮ On positive solutions for some second-order three-point boundary value problems with convection term ⋮ NONLOCAL INTEGRAL BOUNDARY VALUE PROBLEMS WITH CAUSAL OPERATORS AND FRACTIONAL DERIVATIVES ⋮ Positive solutions of a fractional boundary value problem with a fractional derivative boundary condition

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Impulsive anti-periodic boundary value problem for nonlinear differential equations of fractional order
• A new method of finding the fractional Euler-Lagrange and Hamilton equations within Caputo fractional derivatives
• On local attractivity of solutions of a functional integral equation of fractional order with deviating arguments
• Positive solutions for three-point one-dimensional \(p\)-Laplacian boundary value problems with advanced arguments
• Monotonic solutions of a perturbed quadratic fractional integral equation
• Positive solutions of the three-point boundary value problem for second order differential equations with an advanced argument
• Fractional differential equations as alternative models to nonlinear differential equations
• Boundary value problems for differential equations with fractional order and nonlocal conditions
• Basic theory of fractional differential equations
• First-order advanced difference equations
• The nonlocal Cauchy problem for nonlinear fractional integrodifferential equations in Banach spaces
• Boundary value problems for systems of nonlinear integro-differential equations with deviating arguments
• Existence results for a coupled system of nonlinear fractional differential equations with three-point boundary conditions
• Positive solutions to singular boundary value problem for nonlinear fractional differential equation
• Positive solutions for fourth-order differential equations with deviating arguments and integral boundary conditions
• Positive solutions for Dirichlet problems of singular nonlinear fractional differential equations
• Existence of a positive solution to a class of fractional differential equations
• An existence result for a superlinear fractional differential equation
• Maximum principles for fractional differential equations derived from Mittag-Leffler functions
• Existence and monotone iteration of positive solutions for a three-point boundary value problem
• Integral boundary value problems for first order integro-differential equations with deviating arguments
• Existence of periodic solution for a nonlinear fractional differential equation
• On positive solutions of a nonlocal fractional boundary value problem
• Existence of solutions for impulsive integral boundary value problems of fractional order
• Solvability of a three-point nonlinear boundary value problem for a second order ordinary differential equation
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• A remark on a second-order three-point boundary value problem
• A sharper condition for the solvability of a three-point second order boundary value problem
• Approximation of arbitrary Dirichlet processes by Markov chains
• Multiple positive solutions for a three-point boundary value problem
• Multiplicity results for positive solutions of some semi-positone three-point boundary value problems
• Multiplicity of positive solutions for second-order three-point boundary value problems
• Oscillation of first-order impulsive differential equations with advanced argument
• On some nonlinear ordinary differential equations with advanced arguments.
• Positive solutions of some three point boundary value problems via fixed point index theory.
• Finite-time stability analysis of fractional order time-delay systems: Gronwall's approach
• Solvability of three point boundary value problems for second order differential equations with deviating arguments
• Existence and uniqueness of mild solutions to impulsive fractional differential equations
• Positive solutions of arbitrary order nonlinear fractional differential equations with advanced arguments
• Solvability of three point boundary value problems at resonance
• Positive solutions of three-point nonlinear second order boundary value problem
• Advances in Fractional Calculus

This page was built for publication: Positive solutions of the three-point boundary value problem for fractional-order differential equations with an advanced argument