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Topological Methods in Nonlinear Analysis

Uniqueness of solutions for boundary value problems for nonlinear fractional differential equations
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Uniqueness of solutions for boundary value problems for nonlinear fractional differential equations

Authors

  • Wenhao Hu
  • Zhaocai Hao https://orcid.org/0000-0002-7924-3325
  • Martin Bohner https://orcid.org/0000-0001-8310-0266

DOI:

https://doi.org/10.12775/TMNA.2024.036

Keywords

Fractional differential equation, uniqueness of solutions, first eigenvalue, u_0-positive, Banach's contraction mapping principle

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 $u_{0}$-positive operators.

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Published

2025-06-14

How to Cite

1.
HU, Wenhao, HAO, Zhaocai and BOHNER, Martin. Uniqueness of solutions for boundary value problems for nonlinear fractional differential equations. Topological Methods in Nonlinear Analysis. Online. 14 June 2025. pp. 1 - 14. [Accessed 6 July 2025]. DOI 10.12775/TMNA.2024.036.
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