Positive Solutions for Periodic Boundary Value Problems of Fractional Differential Equations with Sign-Changing Nonlinearity and Green’s Function

In this paper, a class of nonlinear fractional differential equations with periodic boundary condition is investigated. Although the nonlinearity of the equation and the Green’s function are sign-changing, the results of the existence and nonexistence of positive solutions are obtained by using the...

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Bibliographic Details
Published in:Axioms 2023-09, Vol.12 (9), p.819
Main Authors: Yan, Rian, Zhao, Yige
Format: Article
Language:English
Subjects:
Boundary conditions
Boundary value problems
Differential equations
Fixed points (mathematics)
fixed-point theorem
Fractional calculus
fractional differential equation
Green's functions
Mathematical analysis
Mathematical research
Nonlinearity
periodic boundary condition
sign-changing
Citations: Items that this one cites
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Summary:In this paper, a class of nonlinear fractional differential equations with periodic boundary condition is investigated. Although the nonlinearity of the equation and the Green’s function are sign-changing, the results of the existence and nonexistence of positive solutions are obtained by using the Schaefer’s fixed-point theorem. Finally, two examples are given to illustrate the main results.
ISSN:2075-1680
2075-1680
DOI:10.3390/axioms12090819