On Some Integral Inequalities via Conformable Fractional Integrals
Applied Mathematics and Nonlinear Sciences, 2020 In the present note, we have given a new integral identity via Conformable fractional integrals and some further properties. We have proved some integral inequalities for different kinds of convexity via Conformable fractional integrals.
A. Akdemi̇r, E. Deniz, Ebru Yüksel
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FEBS Letters, EarlyView.This perspective highlights emerging insights into how the circadian transcription factor CLOCK:BMAL1 regulates chromatin architecture, cooperates with other transcription factors, and coordinates enhancer dynamics. We propose an updated framework for how circadian transcription factors operate within dynamic and multifactorial chromatin landscapes ...
Xinyu Y. Nie, Jerome S. Menet
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On multiplicative conformable fractional integrals: theory and applications
Boundary Value ProblemsIn this paper, we first introduce the multiplicative conformable left and right fractional integrals, followed by the derivation of key properties, such as integrability, boundedness, continuity, and the semi-group property, for the newly defined ...
Hüseyin Budak, Büşra Betül Ergün
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Hermite-Hadamard-Fejér Inequalities for Conformable Fractional Integrals via Preinvex Functions
Journal of Function Spaces, 2019 In this paper, we present a Hermite-Hadamard-Fejér inequality for conformable fractional integrals by using symmetric preinvex functions. We also establish an identity associated with the right hand side of Hermite-Hadamard inequality for preinvex ...
Yousaf Khurshid +3 more
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New Hermite–Jensen–Mercer-type inequalities via k-fractional integrals
, 2020 In the article, we establish serval novel Hermite–Jensen–Mercer-type inequalities for convex functions in the framework of the k -fractional conformable integrals by use of our new approaches.
S. Butt +4 more
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Real‐time assay of ribonucleotide reductase activity with a fluorescent RNA aptamer
FEBS Letters, EarlyView.Ribonucleotide reductases (RNR) synthesize DNA building blocks de novo, making them crucial in DNA replication and drug targeting. FLARE introduces the first single‐tube real‐time coupled RNR assay, which enables isothermal tracking of RNR activity at nanomolar enzyme levels and allows the reconstruction of allosteric regulatory patterns and rapid ...
Jacopo De Capitani +4 more
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A basic study of a fractional integral operator with extended Mittag-Leffler kernel
AIMS Mathematics, 2021 In this present paper, the basic properties of an extended Mittag-Leffler function are studied. We present some fractional integral and differential formulas of an extended Mittag-Leffler function.
Gauhar Rahman +5 more
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Robust stabilization of interval fractional‐order plants with an interval time delay by fractional‐order proportional integral derivative controllers [PDF]
, 2023 Majid Ghorbani +2 more
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Disordered but rhythmic—the role of intrinsic protein disorder in eukaryotic circadian timing
FEBS Letters, EarlyView.Unstructured domains known as intrinsically disordered regions (IDRs) are present in nearly every part of the eukaryotic core circadian oscillator. IDRs enable many diverse inter‐ and intramolecular interactions that support clock function. IDR conformations are highly tunable by post‐translational modifications and environmental conditions, which ...
Emery T. Usher, Jacqueline F. Pelham
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On the Fractional Maximal Delta Integral Type Inequalities on Time Scales
Fractal and Fractional, 2020 Time scales have been the target of work of many mathematicians for more than a quarter century. Some of these studies are of inequalities and dynamic integrals. Inequalities and fractional maximal integrals have an important place in these studies.
Lütfi Akın
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