Journal of Guangxi Normal University(Natural Science Edition) ›› 2023, Vol. 41 ›› Issue (6): 92-104.doi: 10.16088/j.issn.1001-6600.2023032202

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Uniqueness of Positive Solutions for Caputo Fractional Differential Systems

XU Ziyu, WU Keqing*   

  1. School of Science, Jiangxi University of Science and Technology, Ganzhou Jiangxi 341000, China
  • Received:2023-03-22 Revised:2023-05-08 Published:2023-12-04

Abstract: A class of nonlinear p-Laplacian fractional differential equation coupling systems with multipoint boundary value problems is considered where the nonlinear function contains the Caputo fractional derivative and the boundary conditions include nonlinear integral terms. Based on the generalized fixed point theorem of sum operator and the properties of fractional calculus operator, the unique positive solution of the coupling system is analyzed. The existence of the unique positive solution is deduced by means of the corresponding operator equation, and the main results are obtained. The main results are tested by numerical examples.

Key words: positive solution, fractional derivative, operator equation, p-Laplacian, uniqueness

CLC Number:  O175.8
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