Existence of Solutions for a Periodic Boundary ValueProblem with Impulse and Fractional Derivative Dependence

Yaohong Li; Yongqing Wang; Donal O'Regan; Jiafa Xu

doi:10.1155/2020/6625056

Existence of Solutions for a Periodic Boundary ValueProblem with Impulse and Fractional Derivative Dependence

Yaohong Li
, Yongqing Wang
, Donal O'Regan
, Jiafa Xu

Mathematics

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

2 Citations (Scopus)

Abstract

In this paper, we present some theorems on impulsive periodic boundary value problems with fractional derivative dependence. In particular, we discuss the existence of solutions of a class of fractional-order impulsive periodic boundary values with nonlinear terms and impulsive terms satisfying certain growth conditions. Three examples are provided to illustrate our results.

Original language	English
Article number	6625056
Journal	Journal of Mathematics
Volume	2020
DOIs	https://doi.org/10.1155/2020/6625056
Publication status	Published - 2020

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title = "Existence of Solutions for a Periodic Boundary ValueProblem with Impulse and Fractional Derivative Dependence",

abstract = "In this paper, we present some theorems on impulsive periodic boundary value problems with fractional derivative dependence. In particular, we discuss the existence of solutions of a class of fractional-order impulsive periodic boundary values with nonlinear terms and impulsive terms satisfying certain growth conditions. Three examples are provided to illustrate our results.",

author = "Yaohong Li and Yongqing Wang and Donal O'Regan and Jiafa Xu",

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year = "2020",

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AU - Li, Yaohong

AU - Wang, Yongqing

AU - O'Regan, Donal

AU - Xu, Jiafa

PY - 2020

Y1 - 2020

N2 - In this paper, we present some theorems on impulsive periodic boundary value problems with fractional derivative dependence. In particular, we discuss the existence of solutions of a class of fractional-order impulsive periodic boundary values with nonlinear terms and impulsive terms satisfying certain growth conditions. Three examples are provided to illustrate our results.

AB - In this paper, we present some theorems on impulsive periodic boundary value problems with fractional derivative dependence. In particular, we discuss the existence of solutions of a class of fractional-order impulsive periodic boundary values with nonlinear terms and impulsive terms satisfying certain growth conditions. Three examples are provided to illustrate our results.

UR - https://www.scopus.com/pages/publications/85099308452

U2 - 10.1155/2020/6625056

DO - 10.1155/2020/6625056

M3 - Article

AN - SCOPUS:85099308452

SN - 2314-4629

VL - 2020

JO - Journal of Mathematics

JF - Journal of Mathematics

M1 - 6625056

ER -

Existence of Solutions for a Periodic Boundary ValueProblem with Impulse and Fractional Derivative Dependence

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