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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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Discrete Fractional Calculus, Mittag–Leffler Type Kernel, Analytical And Numerical Monotonicity Results

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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