Nontrivial solutions for a Hadamard fractional integral boundary value problem

In this paper, we studied a Hadamard-type fractional Riemann-Stieltjes integral boundary value problem. The existence of nontrivial solutions was obtained by using the fixed-point method when the nonlinearities can be superlinear, suberlinear, and have asymptotic linear growth. Our results improved...

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Bibliographic Details
Published in:Electronic Research Archive
Main Authors: Keyu Zhang, Qian Sun, Jiafa Xu
Format: Article
Language:English
Published: AIMS Press 2024-03-01
Subjects:
hadamard-type fractional-order differential equations
integral boundary value problems
nontrivial solutions
topological degree
Online Access:https://www.aimspress.com/article/doi/10.3934/era.2024096https://www.aimspress.com/article/doi/10.3934/era.2024096
Description
Summary:In this paper, we studied a Hadamard-type fractional Riemann-Stieltjes integral boundary value problem. The existence of nontrivial solutions was obtained by using the fixed-point method when the nonlinearities can be superlinear, suberlinear, and have asymptotic linear growth. Our results improved and generalized some results of the existing literature.
ISSN:2688-1594

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