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Volume 2, Issue 1
Applications of Variational Method to Impulsive Fractional Differential Equations with Two Control Parameters

Dongdong Gao & Jianli Li

DOI: 10.12150/jnma.2020.95

J. Nonl. Mod. Anal., 2 (2020), pp. 95-110.

Published online: 2021-04

[An open-access article; the PDF is free to any online user.]

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  • 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.

  • Keywords

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

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COPYRIGHT: © Global Science Press

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@Article{JNMA-2-95, author = {Gao , Dongdong and Li , Jianli}, title = {Applications of Variational Method to Impulsive Fractional Differential Equations with Two Control Parameters}, journal = {Journal of Nonlinear Modeling and Analysis}, year = {2021}, volume = {2}, number = {1}, pages = {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.

}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2020.95}, url = {http://global-sci.org/intro/article_detail/jnma/18800.html} }
TY - JOUR T1 - Applications of Variational Method to Impulsive Fractional Differential Equations with Two Control Parameters AU - Gao , Dongdong AU - Li , Jianli JO - Journal of Nonlinear Modeling and Analysis VL - 1 SP - 95 EP - 110 PY - 2021 DA - 2021/04 SN - 2 DO - http://doi.org/10.12150/jnma.2020.95 UR - https://global-sci.org/intro/article_detail/jnma/18800.html KW - Impulsive fractional differential equations, Variational methods, Critical point theory, Three solutions. AB -

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.

Dongdong Gao & Jianli Li. (1970). Applications of Variational Method to Impulsive Fractional Differential Equations with Two Control Parameters. Journal of Nonlinear Modeling and Analysis. 2 (1). 95-110. doi:10.12150/jnma.2020.95
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