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Criteria of limit‐point case for conformable fractional Sturm‐Liouville operators
Author(s) -
Zheng Zhaowen,
Liu Huixin,
Cai Jinming,
Zhang Yanwei
Publication year - 2019
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.6063
Subject(s) - conformable matrix , mathematics , sturm–liouville theory , limit (mathematics) , operator (biology) , fractional calculus , point (geometry) , frame (networking) , mathematical analysis , pure mathematics , boundary value problem , geometry , computer science , biochemistry , chemistry , physics , repressor , quantum mechanics , transcription factor , gene , telecommunications
In this paper, the 2 α ‐order conformable fractional Sturm‐Liouville operatorℓ α ( y ) = − T αp T α y + q y , x ∈ [ a , ∞ ) , a > 0 is considered. Two criteria of limit‐point case in the frame of conformable fractional derivatives are obtained. An example illustrating the main result is presented.