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New Generalizations in the Sense of the Weighted Non-Singular Fractional Integral Operator

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Date

2020

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World Scientific Publ Co Pte Ltd

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HYBRID

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No

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Abstract

In this paper, we propose a new fractional operator which is based on the weight function for Atangana{Baleanu (AB)-fractional operators. A motivating characteristic is the generalization of classical variants within the weighted AB-fractional integral. We aim to establish Minkowski and reverse Holder inequalities by employing weighted AB-fractional integral. The consequences demonstrate that the obtained technique is well-organized and appropriate.

Description

Hammouch, Zakia/0000-0001-7349-6922

Keywords

Weighted Ab-Fractional Operator, Minkowski Inequality, Reverse Holder Inequality, Generalization, Evolutionary biology, Operator (biology), Matrix Inequalities and Geometric Means, Theory and Applications of Fractional Differential Equations, Mathematical analysis, Biochemistry, Gene, Fractional Integrals, Fractional derivatives and integrals, weighted \(\mathcal{AB}\)-fractional operator, FOS: Mathematics, reverse Hölder inequality, Biology, Anomalous Diffusion Modeling and Analysis, Singular integral, Integral equation, Applied Mathematics, Minkowski inequality, Fractional calculus, Pure mathematics, Applied mathematics, Fractional Derivatives, Weight function, Chemistry, Function (biology), Modeling and Simulation, Physical Sciences, Repressor, Fractional Calculus, Transcription factor, Mathematics

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Fields of Science

01 natural sciences, 0101 mathematics

Citation

Rashid, Saima...et al. (2020). "New generalizations in the sense of the weighted non-singular fractional integral operator", Fractals, Vol. 28, No. 8.

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Q1

Scopus Q

Q1
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OpenCitations Citation Count
24

Source

Fractals

Volume

28

Issue

8

Start Page

2040003

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CrossRef : 25

Scopus : 37

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Mendeley Readers : 1

SCOPUS™ Citations

37

checked on Feb 03, 2026

Web of Science™ Citations

29

checked on Feb 03, 2026

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2

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8.00579363

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