JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2025, Vol. 60 ›› Issue (12): 121-129.doi: 10.6040/j.issn.1671-9352.0.2024.190

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A class of three-point boundary value problems for implicit impulsive fractional differential equations

CHEN Xiao, ZHOU Wenxue*, HOU Zerong   

  1. School of Mathematics and Physics, Lanzhou Jiaotong University, Lanzhou 730070, Gansu, China
  • Published:2025-12-10

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Abstract: In this paper, we study the existence and uniqueness of solutions for a class of semi-linear implicit impulsive Conformable fractional differential equations with three-point boundary value problems. We employ the Schaefer fixed point theorem and the Banach contraction mapping principle to derive sufficient conditions for the existence and uniqueness of solutions to the fractional differential equations, respectively. An example is given to verify the applicability and feasibility of the main conclusions.

Key words: Conformable fractional derivative, existence and uniqueness, impulsive, boundary value problem

CLC Number: 

  • O175
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