Applications of Variational Method to Impulsive Fractional Differential Equations with Two Control Parameters

Applications of Variational Method to Impulsive Fractional Differential Equations with Two Control Parameters

Year:    2020

Author:    Dongdong Gao, Jianli Li

Journal of Nonlinear Modeling and Analysis, Vol. 2 (2020), Iss. 1 : pp. 95–110

Abstract

In this paper, we study the existence of the impulsive fractional differential equation. Based on a previous paper [2], we give more accurate condition to guarantee the impulsive fractional differential equation has at least three solutions under certain assumptions by using variational methods and critical point theory. Moreover, some recent results are generalized and significantly improved.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.12150/jnma.2020.95

Journal of Nonlinear Modeling and Analysis, Vol. 2 (2020), Iss. 1 : pp. 95–110

Published online:    2020-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    16

Keywords:    Impulsive fractional differential equations Variational methods Critical point theory Three solutions.

Author Details

Dongdong Gao

Jianli Li