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

Keyu Zhang; Qian Sun; Donal O'Regan; Jiafa Xu; Keyu Zhang; Qian Sun; Donal O'Regan; Jiafa Xu

doi:10.3934/math.2024533

AIMS Mathematics

2024, Volume 9, Issue 5: 10911-10925. doi: 10.3934/math.2024533

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

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

Received: 25 January 2024 Revised: 04 March 2024 Accepted: 12 March 2024 Published: 19 March 2024
MSC : 34B10, 34B15, 34B18

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.
- fractional-order differential equations,
- integral boundary value problems,
- impulse,
- positive solutions,
- fixed point index
Citation: Keyu Zhang, Qian Sun, Donal O'Regan, Jiafa Xu. Positive solutions for a Riemann-Liouville-type impulsive fractional integral boundary value problem[J]. AIMS Mathematics, 2024, 9(5): 10911-10925. doi: 10.3934/math.2024533

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Abstract

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.

References

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