Chinese Quarterly Journal of Mathematics ›› 2026, Vol. 41 ›› Issue (3): 323-330.doi: 10.13371/j.cnki.chin.q.j.m.2026.03.007

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Existence Results of Positive Solutions of a Boundary Value Problem for Fractional Differential Equation

  

  1. College of Mathematics and Statistics, Hefei Normal  University, Hefei 230061, China
  • Received:2022-06-09 Online:2026-09-30 Published:2026-09-18
  • About author: SHEN Chun-fang (1982-), female, Nanyang, Henan, professor of Hefei Normal University, engages in ordinary differential equations. 
  • Supported by:
     Supported by the Excellent Scientific Research and Innovation Team of Anhui Educational Committee (Grant No. 2024AH010025) and the Higher School Natural Science Project of Anhui Province (Grant Nos. 2022AH052162 and 2023AH051320) .

Abstract: In this paper, we investigate positive solutions for a class of boundary value problem of nonlinear differential equation with fractional order derivative.  We give sufficient conditions on nonlinear term and the parameter such that the boundary value problem has no positive solutions. Some examples are presented to illustrate the main results.

Key words: Positive solution, Fractional differential equation, Fixed point, Cone

CLC Number: