PROPERTIES AND UNIQUE POSITIVE SOLUTION FOR FRACTIONAL BOUNDARY VALUE PROBLEM WITH TWO PARAMETERS ON THE HALF-LINE

Wenxia Wang; Xilan Liu

doi:10.11948/20200463

2021 Volume 11 Issue 5

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Wenxia Wang, Xilan Liu. PROPERTIES AND UNIQUE POSITIVE SOLUTION FOR FRACTIONAL BOUNDARY VALUE PROBLEM WITH TWO PARAMETERS ON THE HALF-LINE[J]. Journal of Applied Analysis & Computation, 2021, 11(5): 2491-2507. doi: 10.11948/20200463

Citation:

Wenxia Wang, Xilan Liu. PROPERTIES AND UNIQUE POSITIVE SOLUTION FOR FRACTIONAL BOUNDARY VALUE PROBLEM WITH TWO PARAMETERS ON THE HALF-LINE[J]. Journal of Applied Analysis & Computation, 2021, 11(5): 2491-2507. doi: 10.11948/20200463

PROPERTIES AND UNIQUE POSITIVE SOLUTION FOR FRACTIONAL BOUNDARY VALUE PROBLEM WITH TWO PARAMETERS ON THE HALF-LINE

Wenxia Wang¹,
Xilan Liu^2, ,

1.
Department of Mathematics, Taiyuan Normal University, Jinzhong 030619, China
2.
School of Mathematics and Information Science, Baoji University of Arts and Sciences, Baoji, 721013, China

Corresponding author: Email: doclanliu@163.com(X. Liu)
Fund Project: The authors were supported by National Natural Science Foundation of China (11361047, 11561043) and National Science Foundation of Qinghai Province(2017-ZJ-908)

Abstract

Abstract

Based on the theory of cone and operators, this paper concerned with the existence of unique positive solution for a class of nonlinear fractional boundary value problem with two parameters (one is called an eigenvalue parameter and another is a disturbance parameter) on the half-line. More important, the solutions dependence on two parameters was discussed, which shows that different parameters have different effects on the properties of positive solutions, and the results reflect an interesting fact different from our inference. Some examples are given to illustrate the main results.
- Boundary value problem /
- positive solution /
- half-line /
- parameter
MSC: 34B18, 34B15

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References

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