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Analysing discrete fractional operators with exponential kernel for positivity in lower boundedness

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Date

2022

Authors

Mahmood, Sarkhel Akbar
Mohammed, Pshtiwan Othman
Baleanu, Dumitru
Aydi, Hassen
Hamed, Yasser S.

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Open Access Color

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Abstract

In this paper we study the positivity analysis problems for discrete fractional operators with exponential kernel, namely the discrete Caputo-Fabrizio operators. The results are applied to a discrete Caputo-Fabrizio-Caputo fractional operator of order ω of another discrete Caputo-Fabrizio-Riemann fractional operator of order β. Furthermore, the results are obtained for these operators with having the same orders. The conditions for the discrete fractional operators with respect to negative lower bound conditions are expressed in terms of a positive epsilon.

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Keywords

Discrete Fractional Operators, Exponential Kernel, Negative Lower Bound, Positivity Analyses

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Citation

Mahmood, Sarkhel Akbar;...et.al. (2022). "Analysing discrete fractional operators with exponential kernel for positivity in lower boundedness", AIMS Mathematics, Vol.7, No.6, pp.10387-10399.

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AIMS Mathematics

Volume

7

Issue

6

Start Page

10387

End Page

10399