EXISTENCE OF OSCILLATORY SOLUTIONS OF FRACTIONAL DIFFERENTIAL EQUATIONS WITH DISTRIBUTED DELAYS

Youjun Liu; Huanhuan Zhao; Shugui Kang

doi:10.11948/20210414

2022 Volume 12 Issue 2

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Youjun Liu, Huanhuan Zhao, Shugui Kang. EXISTENCE OF OSCILLATORY SOLUTIONS OF FRACTIONAL DIFFERENTIAL EQUATIONS WITH DISTRIBUTED DELAYS[J]. Journal of Applied Analysis & Computation, 2022, 12(2): 807-813. doi: 10.11948/20210414

Citation:

Youjun Liu, Huanhuan Zhao, Shugui Kang. EXISTENCE OF OSCILLATORY SOLUTIONS OF FRACTIONAL DIFFERENTIAL EQUATIONS WITH DISTRIBUTED DELAYS[J]. Journal of Applied Analysis & Computation, 2022, 12(2): 807-813. doi: 10.11948/20210414

EXISTENCE OF OSCILLATORY SOLUTIONS OF FRACTIONAL DIFFERENTIAL EQUATIONS WITH DISTRIBUTED DELAYS

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

Corresponding author: Email: lyj9791@126.com(Y. Liu)
Fund Project: The authors were supported by Natural Sciences Foundation of China (No. 11871314, 61803241), Natural Sciences Foundation of Shanxi Province (No. 201901D111314)

Abstract

Abstract

In this paper, under weaker hypothesis, we use the Schauder-Tychonoff theorem to obtain new sufficient condition for the global existence of oscillatory solutions of fractional differential equations with distributed delays.
- Fractional differential equation /
- Liouville derivative /
- distributed delays /
- oscillatory solutions /
- global existence
MSC: 34A08, 34K11, 35K99

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References

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