JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2024, Vol. 59 ›› Issue (4): 45-52.doi: 10.6040/j.issn.1671-9352.0.2023.005

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Existence results for a coupled system of fractional differential equations with cyclic periodic boundary conditions

Wei ZHANG(),Xinyu FU,Jinbo NI   

  1. School of Mathematics and Big Data, Anhui University of Science and Technology, Huainan 232001, Anhui, China
  • Received:2023-01-09 Online:2024-04-20 Published:2024-04-12

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Abstract:

A new class of coupled fractional systems with resonance boundary value problems is studied, considering the case of cyclic periodic boundary conditions. In this case, not only are the equations coupled, but the boundary conditions are also interdependent. By using Mawhin's continuation theorem, the existence criteria for solutions are obtained and the main results are illustrated by an example.

Key words: fractional coupled system, resonance boundary value problem, cyclic periodic boundary condition, Mawhin's continuation theorem

CLC Number: 

  • O175.8
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