INTERVAL-TYPE CRITERIA OF LIMIT-POINT CASE FOR CONFORMABLE FRACTIONAL STURM-LIOUVILLE OPERATORS

Zhaowen Zheng; Huixin Liu

doi:10.11948/20210510

2022 Volume 12 Issue 4

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Zhaowen Zheng, Huixin Liu. INTERVAL-TYPE CRITERIA OF LIMIT-POINT CASE FOR CONFORMABLE FRACTIONAL STURM-LIOUVILLE OPERATORS[J]. Journal of Applied Analysis & Computation, 2022, 12(4): 1636-1649. doi: 10.11948/20210510

Citation:

Zhaowen Zheng, Huixin Liu. INTERVAL-TYPE CRITERIA OF LIMIT-POINT CASE FOR CONFORMABLE FRACTIONAL STURM-LIOUVILLE OPERATORS[J]. Journal of Applied Analysis & Computation, 2022, 12(4): 1636-1649. doi: 10.11948/20210510

INTERVAL-TYPE CRITERIA OF LIMIT-POINT CASE FOR CONFORMABLE FRACTIONAL STURM-LIOUVILLE OPERATORS

Zhaowen Zheng^1, ,,
Huixin Liu¹

1.
School of Mathematical Sciences, Qufu Normal University, Qufu, Shandong 273165, China

Corresponding author: Email address: zhwzheng@126.com(Z. Zheng)
Fund Project: This work was completed with the support of NSF of Shandong Province (No. ZR2019MA034)

Abstract

Abstract

In this paper, the classification of limit-point case and limit-circle case for the $ 2\alpha $-order conformable fractional Sturm-Liouville operator

$ \ell_{\alpha}(y)=-T_{\alpha}\left(p T_{\alpha} y\right)+q y, x \in[a, \infty), a>0 $

is considered. Two interval criteria of limit-point case in the frame of conformable fractional derivatives are obtained. Examples illustrating the main results are presented.
- Conformable fractional calculus /
- Sturm-Liouville operator /
- limitpoint case /
- interval-type criterion
MSC: 34B12, 47E0575

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References

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