Multiple Positive Solutions to Singular Fractional Differential System with Riemann-Stieltjes Integral Boundary Condition

Authors

  • Haiyan Zhang School of Mathematics and Statistics, Suzhou University, Suzhou, Jiangsu, 234000
  • Yaohong Li School of Mathematics and Statistics, Suzhou University, Suzhou, Jiangsu, 234000

DOI:

https://doi.org/10.13447/j.1674-5647.2019.03.02

Keywords:

fractional differential equation, positive solution, integral boundary condition, fixed point theorem

Abstract

In this paper, we study a class of singular fractional differential system with Riemann-Stieltjes integral boundary condition by constructing a new cone and using Leggett-Williams fixed point theorem. The existence of multiple positive solutions is obtained. An example is presented to illustrate our main results.

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Published

2019-12-16

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Issue

Vol. 35 No. 3 (2019)

Section

Articles

How to Cite

Multiple Positive Solutions to Singular Fractional Differential System with Riemann-Stieltjes Integral Boundary Condition. (2019). Communications in Mathematical Research, 35(3), 208-218. https://doi.org/10.13447/j.1674-5647.2019.03.02