Uniqueness of Solutions for Boundary Value Problems for Nonlinear Fractional Differential Equations

Author

Wenhao Hu
Zhaocai Hao
Martin Bohner, Missouri University of Science and TechnologyFollow

Abstract

In this paper, we investigate uniqueness of solutions for a type of nonlinear fractional differential equations with integral boundary conditions. Different from most existing results, we use three new methods to get the uniqueness results. Specifically, we respectively utilize Banach's contraction mapping principle, linear operator theory and u0-positive operators.

Recommended Citation

W. Hu et al., "Uniqueness of Solutions for Boundary Value Problems for Nonlinear Fractional Differential Equations," Topological Methods in Nonlinear Analysis, vol. 65, no. 2, pp. 459 - 472, Juliusz Schauder Centre for Nonlinear Studies; Nicolaus Copernicus University in Toruń, Jan 2025.

The definitive version is available at https://doi.org/10.12775/TMNA.2024.036

Department(s)

Mathematics and Statistics

Comments

National Natural Science Foundation of China, Grant 11871302

Keywords and Phrases

Banach's contraction mapping principle; first eigenvalue; Fractional differential equation; u0-positive; uniqueness of solutions

International Standard Serial Number (ISSN)

1230-3429

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2025 Juliusz Schauder Centre for Nonlinear Studies; Nicolaus Copernicus University in Toruń, All rights reserved.

Publication Date

01 Jan 2025