Positive properties of Green's function for three-point boundary value problems of nonlinear fractional differential equations and its applications

DOI10.1080/00036811.2011.629608zbMath1243.34008OpenAlexW2071546766WikidataQ58141172 ScholiaQ58141172MaRDI QIDQ3225845

Daqing Jiang, Weimin Hu, Xiaojie Xu, Donal O'Regan, Ravi P. Agarwal

Publication date: 22 March 2012

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2011.629608

zbMATH Keywords

fractional differential equationsthree point boundary value problem

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Green's functions for ordinary differential equations (34B27) Applications of operator theory to differential and integral equations (47N20) Fractional ordinary differential equations (34A08)

Related Items (11)

Multiple positive solutions for nonlocal boundary value problems of singular fractional differential equations ⋮ Multiple positive solutions to singular positone and semipositone \(m\)-point boundary value problems of nonlinear fractional differential equations ⋮ Positive solutions to \(n\)-order fractional differential equation with parameter ⋮ Bifurcation of positive solutions for a three-point boundary-value problem of nonlinear fractional differential equations ⋮ Multiplicity solutions for integral boundary value problem of fractional differential systems ⋮ On the existence and uniqueness of the solution of a nonlinear fractional differential equation with integral boundary condition ⋮ Unnamed Item ⋮ Solvability of a class of higher-order fractional two-point boundary value problem ⋮ Positive solutions of fractional differential equation nonlocal boundary value problems ⋮ Positive solutions to a fractional-order two-point boundary value problem with \(p\)-Laplacian operator ⋮ Fractional boundary value problems with Riemann-Liouville fractional derivatives

Cites Work

• Existence results for a coupled system of nonlinear fractional differential equations with three-point boundary conditions
• Positive solutions for Dirichlet problems of singular nonlinear fractional differential equations
• Existence and uniqueness of solutions for singular integral equation
• The positive properties of the Green function for Dirichlet-type boundary value problems of nonlinear fractional differential equations and its application
• On positive solutions of a nonlocal fractional boundary value problem
• ON THE RIEMANN-LIOUVILLE FRACTIONAL CALCULUS AND SOME RECENT APPLICATIONS
• THE RELATIONSHIP BETWEEN FRACTIONAL CALCULUS AND FRACTALS
• Positive solutions for boundary value problem of nonlinear fractional differential equation

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