JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2025, Vol. 60 ›› Issue (12): 110-120.doi: 10.6040/j.issn.1671-9352.0.2023.438

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The existence of unique positive solution for boundary value problems of fractional differential equations with parameters and derivatives involving p-Laplacian operators

ZHENG Yanping, YANG Hui*, WANG Wenxia   

  1. School of Mathematics and Statistics, Taiyuan Normal University, Jinzhong 030619, Shanxi, China
  • Published:2025-12-10

Abstract: This paper investigates the existence and uniqueness of positive solution for a class of boundary value problems of p-Laplacian fractional differential equations with a deviation and fractional derivatives involving nonlinear fractional integral terms in the boundary conditions and two parameters. Based on the cone theory and method operators, the maximum parameter interval for the existence of the unique positive solution is obtained and continuous dependence of the unique positive solution on parameters is discussed. Finally, two examples are given to illustrate the main results.

Key words: fractional differential equation, boundary value problem, p-Laplacian operator, unique solution

CLC Number: 

  • O175
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