Sign in
Back
A STURM-LIOUVILLE APPROACH FOR CONTINUOUS AND DISCRETE MITTAG-LEFFLER KERNEL FRACTIONAL OPERATORS
Journal article   Open access  Peer reviewed

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

Raziye Mert, Thabet Abdeljawad and Allan Peterson
Discrete and continuous dynamical systems. Series S, Vol.14(7), pp.2417-2434
01/07/2021
DOI: https://doi.org/10.3934/dcdss.2020171

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
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.
url
https://doi.org/10.3934/dcdss.2020171View
Published (Version of record) Open

Metrics

1 Record Views

Details