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Topological Methods in Nonlinear Analysis

Existence of solutions for a coupled system of nonlinear fractional differential equations at resonance
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Existence of solutions for a coupled system of nonlinear fractional differential equations at resonance

Authors

  • Hanying Feng
  • Xiaofeng Zhang

DOI:

https://doi.org/10.12775/TMNA.2020.061

Keywords

Fractional differential equation, existence, at resonance, coincidence degree theory

Abstract

In this article, we investigate the existence of solutions for a coupled differential system of fractional differential equations at resonance. The existence results of solutions are obtained by using the coincidence degree theory. In addition, an example is presented to demonstrate the application of our main results.

References

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L. Hu and S. Zhang, Existence and uniqueness of solutions for a higher-order coupled fractional differential equations at resonance, Adv. Differ. Equ. 2015 (2015), no. 202.

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Y. Zhang, Z. Bai and T. Feng, Existence results for a coupled system of nonlinear fractional three-point boundary value problems at resonance, Comput. Math. Appl. 61 (2011), 1032–1047.

X. Zhang and H. Feng, Eigenvalue for a system of Caputo fractional differential equations, J. Comput. Anal. Appl. 3 (2018), no. 25, 544–551.

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Published

2021-12-02

How to Cite

1.
FENG, Hanying and ZHANG, Xiaofeng. Existence of solutions for a coupled system of nonlinear fractional differential equations at resonance. Topological Methods in Nonlinear Analysis. Online. 2 December 2021. Vol. 58, no. 2, pp. 389 - 401. [Accessed 29 June 2025]. DOI 10.12775/TMNA.2020.061.
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Issue

Vol 58, No 2 (December 2021)

Section

Articles

License

Copyright (c) 2021 Hanying Feng, Xiaofeng Zhang

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

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