Existence of solutions for a fractional Riemann–Stieltjes integral boundary value problem
Articles
Yanfang Li
Suqian University
https://orcid.org/0009-0009-7772-2275
Donal O’Regan
University of Galway
https://orcid.org/0000-0002-4096-1469
Jiafa Xu
Chongqing Normal University
https://orcid.org/0000-0001-6537-4167
Published 2024-03-23
https://doi.org/10.15388/namc.2024.29.34768
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Keywords

Riemann–Liouville-type fractional-order differential equations
integral boundary value problems
nontrivial solutions
topological degree

How to Cite

Li, Y., O’Regan, D. and Xu, J. (2024) “Existence of solutions for a fractional Riemann–Stieltjes integral boundary value problem”, Nonlinear Analysis: Modelling and Control, pp. 1–21. doi:10.15388/namc.2024.29.34768.

Abstract

In this paper, we study a Riemann–Liouville-type fractional Riemann–Stieltjes integral boundary value problem under some conditions regarding the spectral radius of the relevant linear operator. The existence of nontrivial solutions is obtained using topological degree, and our results improve and generalize some results in the literature.

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