Published January 1, 2021
| Version v1
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A STURM-LIOUVILLE APPROACH FOR CONTINUOUS AND DISCRETE MITTAG-LEFFLER KERNEL FRACTIONAL OPERATORS
- 1. Univ Turkish Aeronaut Assoc, Dept Mechatron Engn, TR-06790 Ankara, Turkey
- 2. Univ Nebraska Lincoln, Dept Math, Lincoln, NE 68588 USA
Description
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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