Positive and decreasing solutions for higher order Caputo boundary valueproblems with sign-changing Green’s function

Authors

RIAN YANFollow
YIGE ZHAOFollow
XUAN LENGFollow
YABING LIFollow

Author ORCID Identifier

RIAN YAN: 0000-0001-7580-0529

YIGE ZHAO: 0000-0003-4487-2938

XUAN LENG: 0000-0002-9662-4939

YABING LI: 0009-0007-0273-7718

DOI

10.55730/1300-0098.3532

Abstract

In this paper, Caputo boundary value problems of order 3 < ζ ≤ 4 are investigated on the interval [0, 1] .By Guo-Krasnoselskii fixed point theorem, some criteria of existence and multiplicity of positive and decreasing solutionsare established. The main novelty of the paper lies in its capability to achieve positive solutions while the correspondingGreen’s function changes sign. Finally, two examples are provided to illustrate the application of these results.

Keywords

Caputo fractional derivatives, fixed point theorem, sign-changing Green's function

First Page

645

Last Page

657

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Recommended Citation

YAN, RIAN; ZHAO, YIGE; LENG, XUAN; and LI, YABING (2024) "Positive and decreasing solutions for higher order Caputo boundary valueproblems with sign-changing Green’s function," Turkish Journal of Mathematics: Vol. 48: No. 4, Article 3. https://doi.org/10.55730/1300-0098.3532
Available at: https://journals.tubitak.gov.tr/math/vol48/iss4/3