Positive solutions for a Riemann-Liouville-type impulsive fractional integral boundary value problem

Author:

Zhang Keyu1,Sun Qian23,O'Regan Donal4,Xu Jiafa5

Affiliation:

1. School of Mathematics, Qilu Normal University, Jinan 250013, China

2. School of Mathematical Sciences, Qufu Normal University, Qufu 273165, China

3. School of Mathematics and Statistics, Ludong University, Yantai 264025, China

4. School of Mathematical and Statistical Sciences, University of Galway, Galway, Ireland

5. School of Mathematical Sciences, Chongqing Normal University, Chongqing 401331, China

Abstract

<abstract><p>In this work, we investigate a Riemann-Liouville-type impulsive fractional integral boundary value problem. Using the fixed point index, we obtain two existence theorems on positive solutions under some conditions concerning the spectral radius of the relevant linear operator. Our method improves and generalizes some results in the literature.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

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