A STURM-LIOUVILLE APPROACH FOR CONTINUOUS AND DISCRETE MITTAG-LEFFLER KERNEL FRACTIONAL OPERATORS

被引：7
|
作者：
Mert, Raziye [1 ]
Abdeljawad, Thabet [2 ,3 ,4 ]
Peterson, Allan [5 ]
机构：
[1] Univ Turkish Aeronaut Assoc, Dept Mechatron Engn, TR-06790 Ankara, Turkey
[2] Prince Sultan Univ, Dept Math & Gen Sci, POB 66833, Riyadh 11586, Saudi Arabia
[3] China Med Univ, Dept Med Res, Taichung 40402, Taiwan
[4] Asia Univ, Dept Comp Sci & Informat Engn, Taichung, Taiwan
[5] Univ Nebraska Lincoln, Dept Math, Lincoln, NE 68588 USA
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2021年 / 14卷 / 07期
关键词：
ABR and ABC fractional deriva-tives; ABR and ABC fractional differences; Mittag-Leffler kernel; Fractional Sturm-Liouville problem; INITIAL-VALUE PROBLEMS; MONOTONICITY ANALYSIS; DERIVATIVES; INTEGRATION;
D O I：
10.3934/dcdss.2020171
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work, we use integration by parts formulas derived for fractional operators with Mittag-Leffler kernels to formulate and investigate fractional Sturm-Liouville Problems (FSLPs). We analyze the self-adjointness, eigenvalue and eigenfunction properties of the associated Fractional SturmLiouville Operators (FSLOs). The discrete analogue of the obtained results is formulated and analyzed by following nabla analysis.
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页码：2417 / 2434
页数：18
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