Properties of Green's function and the existence of different types of solutions for nonlinear fractional BVP with a parameter in integral boundary conditions

DOI10.1186/S13661-019-1184-2OpenAlexW2943846176MaRDI QIDQ2108286

Wen-Xia Wang

Publication date: 19 December 2022

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-019-1184-2

zbMATH Keywords

conefixed pointparametersign-changing solutionintegral boundary value problemCaputo fractional order derivative

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) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Parameter dependent boundary value problems for ordinary differential equations (34B08) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Fractional ordinary differential equations (34A08)

Related Items (5)

Unique positive solution for a \(p\)-Laplacian fractional differential boundary value problem involving Riemann-Stieltjes integral ⋮ Qualitative behaviour of a Caputo fractional differential system ⋮ Existence of a Positive Solution for a Boundary Value Problem of some Nonlinear Fractional Differential Equation ⋮ Positive solutions depending on parameters for a nonlinear fractional system with \(p\)-Laplacian operators ⋮ Existence of positive solution for BVP of nonlinear fractional differential equation with integral boundary conditions

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