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Journal of Function Spaces
Article . 2024 . Peer-reviewed
License: CC BY
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Journal of Function Spaces
Article . 2024
Data sources: DOAJ
https://dx.doi.org/10.60692/hx...
Other literature type . 2024
Data sources: Datacite
https://dx.doi.org/10.60692/en...
Other literature type . 2024
Data sources: Datacite
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On Certain Analogues of Noor Integral Operators Associated with Fractional Integrals

على نظائر معينة لمشغلي نور المتكاملين المرتبطين بالتكامل الكسري
Authors: Mojtaba Fardi; Ebrahim Amini; Shrideh Al‐Omari;

On Certain Analogues of Noor Integral Operators Associated with Fractional Integrals

Abstract

In this paper, we employ a q-Noor integral operator to perform a q-analogue of certain fractional integral operator defined on an open unit disc. Then, we make use of the Hadamard convolution product to discuss several related results. Also, we derive a class of convex functions by utilizing the q-fractional integral operator and apply the inspired presented theory of the differential subordination, to geometrically explore the most popular differential subordination properties of the aforementioned operator. In addition, we discuss an exciting inclusion for the given convex class of functions. Over and above, we investigate the q-fractional integral operator and obtain some applications for the differential subordination.

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Keywords

Artificial neural network, Artificial intelligence, Hadamard product, Class (philosophy), Geometry, Operator (biology), Mathematical analysis, Biochemistry, Gene, Convolution (computer science), Convex function, FOS: Chemical sciences, Machine learning, QA1-939, FOS: Mathematics, Recent Developments in Ketene Dithioacetal Chemistry, Hadamard transform, Product (mathematics), Conformal Mapping, Physics, Organic Chemistry, Integral transform, Geometric Function Theory and Complex Analysis, Fractional calculus, Pure mathematics, Statistical and Nonlinear Physics, Computer science, Regular polygon, Chemistry, Physics and Astronomy, Physical Sciences, Repressor, Thermodynamics, Differential operator, Geometry and Topology, Differential (mechanical device), Transcription factor, Mathematics, Rogue Waves in Nonlinear Systems

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
4
Top 10%
Average
Average
gold