Analytical and numerical negative boundedness of fractional differences with Mittag-Leffler kernel
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Date
2023
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Abstract
We show that a class of fractional differences with Mittag-Leffler kernel can be negative and yet monotonicity information can still be deduced. Our results are complemented by numerical approximations. This adds to a growing body of literature illustrating that the sign of a fractional difference has a very complicated and subtle relationship to the underlying behavior of the function on which the fractional difference acts, regardless of the particular kernel used.
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Keywords
Discrete Fractional Calculus, Mittag–Leffler Type Kernel, Analytical And Numerical Monotonicity Results
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Citation
Mohammed, Pshtiwan Othman...et.al. (2023). "Analytical and numerical negative boundedness of fractional differences with Mittag-Leffler kernel", Aims Mathematics, Vol.8, No.3, pp.5540-5550.
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Aims Mathematics
Volume
8
Issue
3
Start Page
5540
End Page
5550