Variational Methods for an Impulsive Fractional Differential Equations with Derivative Term

Yulin Zhao, Jiafa Xu and Haibo Chen
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Yulin Zhao: School of Science, Hunan University of Technology, Zhuzhou 412007, China
Jiafa Xu: School of Mathematical Sciences, Chongqing Normal University, Chongqing 401331, China
Haibo Chen: School of Mathematics and Statistics, Central South University, Changsha 410083, China

Mathematics, 2019, vol. 7, issue 10, 1-15

Abstract: This paper is devoted to studying the existence of solutions to a class of impulsive fractional differential equations with derivative dependence. The used technical approach is based on variational methods and iterative methods. In addition, an example is given to demonstrate the main results.

Keywords: impulsive fractional differential equations; mountain pass theorem; variational methods; critical points; iterative methods (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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