Nontrivial solutions for a Hadamard fractional integral boundary value problem

Keyu Zhang; Qian Sun; Jiafa Xu; Keyu Zhang; Qian Sun; Jiafa Xu

doi:10.3934/era.2024096

Electronic Research Archive

2024, Volume 32, Issue 3: 2120-2136. doi: 10.3934/era.2024096

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Nontrivial solutions for a Hadamard 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 Mathematical Sciences, Chongqing Normal University, Chongqing 401331, China

Received: 25 January 2024 Revised: 02 March 2024 Accepted: 06 March 2024 Published: 13 March 2024

In this paper, we studied a Hadamard-type fractional Riemann-Stieltjes integral boundary value problem. The existence of nontrivial solutions was obtained by using the fixed-point method when the nonlinearities can be superlinear, suberlinear, and have asymptotic linear growth. Our results improved and generalized some results of the existing literature.
- Hadamard-type fractional-order differential equations,
- integral boundary value problems,
- nontrivial solutions,
- topological degree
Citation: Keyu Zhang, Qian Sun, Jiafa Xu. Nontrivial solutions for a Hadamard fractional integral boundary value problem[J]. Electronic Research Archive, 2024, 32(3): 2120-2136. doi: 10.3934/era.2024096

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Abstract

In this paper, we studied a Hadamard-type fractional Riemann-Stieltjes integral boundary value problem. The existence of nontrivial solutions was obtained by using the fixed-point method when the nonlinearities can be superlinear, suberlinear, and have asymptotic linear growth. Our results improved and generalized some results of the existing literature.

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