ON MULTIPLE POSITIVE SOLUTIONS TO HADAMARD FRACTIONAL BOUNDARY VALUE PROBLEMS ON AN INFINITE INTERVAL INVOLVING INTEGRAL AND INFINITE-POINT CONSTRAINTS

Limin Guo; Ying Wang; Yonghua Chen; Yuzhu Lei; Yumei Zi

doi:10.11948/20250392

2026 Volume 16 Issue 6

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Article navigation > Journal of Applied Analysis & Computation > 2026 > 16(6): 3244-3263

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Limin Guo, Ying Wang, Yonghua Chen, Yuzhu Lei, Yumei Zi. ON MULTIPLE POSITIVE SOLUTIONS TO HADAMARD FRACTIONAL BOUNDARY VALUE PROBLEMS ON AN INFINITE INTERVAL INVOLVING INTEGRAL AND INFINITE-POINT CONSTRAINTS[J]. Journal of Applied Analysis & Computation, 2026, 16(6): 3244-3263. doi: 10.11948/20250392

Citation:

Limin Guo, Ying Wang, Yonghua Chen, Yuzhu Lei, Yumei Zi. ON MULTIPLE POSITIVE SOLUTIONS TO HADAMARD FRACTIONAL BOUNDARY VALUE PROBLEMS ON AN INFINITE INTERVAL INVOLVING INTEGRAL AND INFINITE-POINT CONSTRAINTS[J]. Journal of Applied Analysis & Computation, 2026, 16(6): 3244-3263. doi: 10.11948/20250392

ON MULTIPLE POSITIVE SOLUTIONS TO HADAMARD FRACTIONAL BOUNDARY VALUE PROBLEMS ON AN INFINITE INTERVAL INVOLVING INTEGRAL AND INFINITE-POINT CONSTRAINTS

1.
School of science, Changzhou Institute of Technology, Liaohe 213002, Changzhou, China
2.
School of Mathematicacs and Statistics, Linyi University, Linyi 276000, Shandong, China
3.
Soochow University, Library, Suzhou 215006, Jiangsu, China

Author Bio: Email: guolimin811113@163.com(L. Guo); Email: chenyonghua@suda.edu.cn(Y. Chen); Email: leiyz@czu.cn(Y. Lei); Email: ziyumei@lyu.edu.cn (Y. Zi)
Corresponding author: Email: lywy1981@163.com(Y. Wang)

Abstract

Abstract

In the fields of science and engineering, analyzing fractional-order differential equations over infinite intervals is crucial for modeling complex systems. These practical applications rely on the research results of the theory. Therefore, this paper conducts a theoretical analysis of boundary value problems over infinite intervals. This paper focuses on a class of Hadamard fractional equations with mixed integrals and infinite-point boundary constraints. By deriving the properties of the Green function, a suitable cone is established, and subsequently, the existence of multiple positive solutions is derived. Finally, a computational case study is conducted to verify the effectiveness of this theoretical framework.
- Hadamard fractional derivative /
- multiple positive solutions /
- infinite domain
MSC: 34B16, 34B18

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References

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