JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2023, Vol. 58 ›› Issue (8): 82-91.doi: 10.6040/j.issn.1671-9352.0.2023.034

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Existence and Ulam stability for positive solutions of conformable fractional coupled systems

Yun NI(),Xiping LIU#()   

  1. College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China
  • Received:2023-02-01 Online:2023-08-20 Published:2023-07-28
  • Contact: Xiping LIU E-mail:nyny0418_h@163.com;xipingliu@usst.edu.cn

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Abstract:

A nonlocal boundary value problem for a class of conformable fractional differential equations coupled system with p-Laplacian operator are studied. First, by constructing a special Banach space and using the Schauder fixed-point theorem and Banach contraction mapping principle, several results on the existence and uniqueness for positive solutions to the system are obtained, and provide sufficient conditions for the existence and uniqueness of the solution. Then, the stability of the system is studied, and the conclusion that the system has the generalized Hyers-Ulam stability is obtained. Finally, the applicability of the main conclusions obtained is demonstrated through a specific example.

Key words: conformable fractional derivative, coupled system, p-Laplacian operator, nonlocal boundary value problem, Hyers-Ulam stability

CLC Number: 

  • O175.8
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