Existence and Uniqueness of Solutions to Four-Point Impulsive Fractional Differential Equations with p -Laplacian Operator

Limin Chu, Weimin Hu, Youhui Su and Yongzhen Yun
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Limin Chu: School of Mathematics and Statistics, Yili Normal University, Yining 835000, China
Weimin Hu: School of Mathematics and Statistics, Yili Normal University, Yining 835000, China
Youhui Su: School of Mathematics and Statistics, Xuzhou University of Technology, Xuzhou 221018, China
Yongzhen Yun: School of Mathematics and Statistics, Xuzhou University of Technology, Xuzhou 221018, China

Mathematics, 2022, vol. 10, issue 11, 1-30

Abstract: In this paper, by using fixed-point theorems, the existence and uniqueness of positive solutions to a class of four-point impulsive fractional differential equations with p -Laplacian operators are studied. In addition, three examples are given to justify the conclusion. The interest of this paper is to study impulsive fractional differential equations with p -Laplacian operators.

Keywords: impulsive fractional differential equations; p -Laplacian operator; boundary value problem; existence; uniqueness (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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