New Generalizations in the Sense of the Weighted Non-Singular Fractional Integral Operator
No Thumbnail Available
Date
2020
Journal Title
Journal ISSN
Volume Title
Publisher
World Scientific Publ Co Pte Ltd
Open Access Color
HYBRID
Green Open Access
No
OpenAIRE Downloads
OpenAIRE Views
Publicly Funded
No
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
ORCID
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
Turkish CoHE Thesis Center URL
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.
WoS Q
Q1
Scopus Q
Q1

OpenCitations Citation Count
24
Source
Fractals
Volume
28
Issue
8
Start Page
2040003
End Page
PlumX Metrics
Citations
CrossRef : 25
Scopus : 37
Captures
Mendeley Readers : 1
SCOPUS™ Citations
37
checked on Feb 03, 2026
Web of Science™ Citations
29
checked on Feb 03, 2026
Page Views
2
checked on Feb 03, 2026
Google Scholar™


