Solvability for a system of Hadamard fractional multi-point boundary value problems

Jiafa Xu; Lishan Liu; Shikun Bai; Yonghong Wu

doi:10.15388/namc.2021.26.22538

Articles

Jiafa Xu

Qufu Normal University

https://orcid.org/0000-0001-6537-4167

Lishan Liu

Qufu Normal University

https://orcid.org/0000-0001-8541-1017

Shikun Bai

Chongqing Normal University

https://orcid.org/0000-0003-1256-2716

Yonghong Wu

Curtin University

Published 2021-05-01

https://doi.org/10.15388/namc.2021.26.22538

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Keywords

Hadamard fractional differential equations
multi-point boundary value problems
multiple solutions
asymptotically linear growth

How to Cite

Xu, J. (2021) “Solvability for a system of Hadamard fractional multi-point boundary value problems”, Nonlinear Analysis: Modelling and Control, 26(3), pp. 502–521. doi:10.15388/namc.2021.26.22538.

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Abstract

In this paper, we study a system of Hadamard fractional multi-point boundary value problems. We first obtain triple positive solutions when the nonlinearities satisfy some bounded conditions. Next, we also obtain a nontrivial solution when the nonlinearities can be asymptotically linear growth. Furthermore, we provide two examples to illustrate our main results.

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