OSCILLATION BEHAVIOR OF SOLUTION OF IMPULSIVE FRACTIONAL DIFFERENTIAL EQUATION

Limei Feng; Zhenlai Han

doi:10.11948/20190133

2020 Volume 10 Issue 1

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Limei Feng, Zhenlai Han. OSCILLATION BEHAVIOR OF SOLUTION OF IMPULSIVE FRACTIONAL DIFFERENTIAL EQUATION[J]. Journal of Applied Analysis & Computation, 2020, 10(1): 223-233. doi: 10.11948/20190133

Citation:

Limei Feng, Zhenlai Han. OSCILLATION BEHAVIOR OF SOLUTION OF IMPULSIVE FRACTIONAL DIFFERENTIAL EQUATION[J]. Journal of Applied Analysis & Computation, 2020, 10(1): 223-233. doi: 10.11948/20190133

OSCILLATION BEHAVIOR OF SOLUTION OF IMPULSIVE FRACTIONAL DIFFERENTIAL EQUATION

Limei Feng¹,
Zhenlai Han^1, ,

1.
School of Mathematical Sciences, University of Jinan, Jinan, Shandong, 250022, China

Corresponding author: Email address: hanzhenlai@163.com(Z. Han)
Fund Project: The authors were supported by the Natural Science Foundation of China (61703180, 61803176), and supported by Shandong Provincial Natural Science Foundation (ZR2017MA043)

Abstract

Abstract

In this paper, we study the oscillation of impulsive Caputo fractional differential equation. Sufficient conditions for the asymptotic and oscillation of the equation are obtained by using the inequality principle and Bihari Lemma. An example is given to illustrate the results. This is the first time to study the oscillation of impulsive fractional differential equation with Caputo derivative.
- Oscillation theory /
- fractional differential equation /
- impulsive
MSC: 34C10, 34A08, 35R12

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