EXISTENCE OF MULTIPLE POSITIVE SOLUTIONS FOR CAPUTO FRACTIONAL DIFFERENTIAL EQUATION WITH INFINITE-POINT BOUNDARY VALUE CONDITIONS

Limin Guo; Jingbo Zhao; Shuang Dong; Xinglin Hou

doi:10.11948/20210301

2022 Volume 12 Issue 5

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Limin Guo, Jingbo Zhao, Shuang Dong, Xinglin Hou. EXISTENCE OF MULTIPLE POSITIVE SOLUTIONS FOR CAPUTO FRACTIONAL DIFFERENTIAL EQUATION WITH INFINITE-POINT BOUNDARY VALUE CONDITIONS[J]. Journal of Applied Analysis & Computation, 2022, 12(5): 1786-1800. doi: 10.11948/20210301

Citation:

Limin Guo, Jingbo Zhao, Shuang Dong, Xinglin Hou. EXISTENCE OF MULTIPLE POSITIVE SOLUTIONS FOR CAPUTO FRACTIONAL DIFFERENTIAL EQUATION WITH INFINITE-POINT BOUNDARY VALUE CONDITIONS[J]. Journal of Applied Analysis & Computation, 2022, 12(5): 1786-1800. doi: 10.11948/20210301

EXISTENCE OF MULTIPLE POSITIVE SOLUTIONS FOR CAPUTO FRACTIONAL DIFFERENTIAL EQUATION WITH INFINITE-POINT BOUNDARY VALUE CONDITIONS

1.
School of science, Changzhou Institute of Technology, Liaohe, 213002 Changzhou, China
2.
School of automotive engineering, Changzhou Institute of Technology, Liaohe, 213002 Changzhou, China

Corresponding authors: Email: guolimin811113@163.com(L. Guo); Email: zhaojb@czu.cn(J. Zhao)
Fund Project: This research was supported by the National Natural Science Foundation of China (Nos. 12101086, 62101074), Changzhou Science and technology planning project(No. CJ20210133), and Project of Shandong Province Higher Educational Science and Technology Program (No. J18KA217)

Abstract

Abstract

In this paper, the existence of positive solutions for Caputo fractional differential equations boundary value problem with infinite points contained in the boundary value condition, and based on Green's function and its properties, the existence of multiple positive solutions are obtained by Avery-Peterson fixed point theorem.
- Caputo fractional differential equation /
- multiple positive solutions /
- infinite-point
MSC: 34B16, 34B18

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References

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