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A Sturm-Liouville approach for continuous and discrete Mittag-Leffler kernel fractional operators

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  • 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 $). We analyze the self-adjointness, eigenvalue and eigenfunction properties of the associated Fractional Sturm-Liouville Operators ($ FSLOs $). The discrete analogue of the obtained results is formulated and analyzed by following nabla analysis.

    Mathematics Subject Classification: 26A33, 65Q10.


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