EXISTENCE OF OSCILLATORY SOLUTIONS OF FRACTIONAL DIFFERENTIAL EQUATIONS

Huanhuan Zhao; Youjun Liu; Shugui Kang

doi:10.11948/20230379

2024 Volume 14 Issue 3

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Huanhuan Zhao, Youjun Liu, Shugui Kang. EXISTENCE OF OSCILLATORY SOLUTIONS OF FRACTIONAL DIFFERENTIAL EQUATIONS[J]. Journal of Applied Analysis & Computation, 2024, 14(3): 1771-1777. doi: 10.11948/20230379

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Huanhuan Zhao, Youjun Liu, Shugui Kang. EXISTENCE OF OSCILLATORY SOLUTIONS OF FRACTIONAL DIFFERENTIAL EQUATIONS[J]. Journal of Applied Analysis & Computation, 2024, 14(3): 1771-1777. doi: 10.11948/20230379

EXISTENCE OF OSCILLATORY SOLUTIONS OF FRACTIONAL DIFFERENTIAL EQUATIONS

1.
School of Mathematics and Statistics, Shanxi Datong University Datong, Shanxi 037009, China

Author Bio: Email: zhh9791@126.com(H. Zhao); Email: dtkangshugui@126.com(S. Kang)
Corresponding author: Email: lyj9791@126.com(Y. Liu)
Fund Project: The authors were supported by Natural Sciences Foundation of China (11871314), Technological Innovation Programs of Higher Education Institutions in Shanxi (2019L0736) and Scientific Research Project of Shanxi Datong University (2022K8)

Abstract

Abstract

In this paper, we use Schauder-Tychonoff theorem to obtain a new sufficient condition for the global existence of oscillatory solutions for forced fractional delay differential equations.
- Fractional /
- Liouville derivative /
- oscillatory solutions /
- global existence /
- Schauder-Tychonoff theorem
MSC: 34A08, 34K11, 35K99

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References

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