Results 61 to 70 of about 40,668 (308)

Fractional characteristic functions, and a fractional calculus approach for moments of random variables [PDF]

open access: yes, 2022
In this paper we introduce a fractional variant of the characteristic function of a random variable. It exists on the whole real line, and is uniformly continuous.
Gerhold, Stefan; orcid:   +2 more
core   +1 more source

Evaluation of Fractional Integrals and Derivatives of Elementary Functions: Overview and Tutorial

open access: yesMathematics, 2019
Several fractional-order operators are available and an in-depth knowledge of the selected operator is necessary for the evaluation of fractional integrals and derivatives of even simple functions.
Roberto Garrappa   +2 more
doaj   +1 more source

Riemann’s conjecture and a fractional derivative

open access: yesComputers & Mathematics with Applications, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
A. Le Méhauté   +2 more
openaire   +2 more sources

Protein pyrophosphorylation by inositol pyrophosphates — detection, function, and regulation

open access: yesFEBS Letters, EarlyView.
Protein pyrophosphorylation is an unusual signaling mechanism that was discovered two decades ago. It can be driven by inositol pyrophosphate messengers and influences various cellular processes. Herein, we summarize the research progress and challenges of this field, covering pathways found to be regulated by this posttranslational modification as ...
Sarah Lampe   +3 more
wiley   +1 more source

Wirtinger-type inequalities for Caputo fractional derivatives via Taylor’s formula

open access: yesJournal of Inequalities and Applications
In this study, we firstly derive a Wirtinger-type result, which gives the connection in between the integral of square of a function and the integral of square of its Caputo fractional derivatives with the help of left-sided and right-sided fractional ...
Samet Erden   +3 more
doaj   +1 more source

Structural instability impairs function of the UDP‐xylose synthase 1 Ile181Asn variant associated with short‐stature genetic syndrome in humans

open access: yesFEBS Letters, EarlyView.
The Ile181Asn variant of human UDP‐xylose synthase (hUXS1), associated with a short‐stature genetic syndrome, has previously been reported as inactive. Our findings demonstrate that Ile181Asn‐hUXS1 retains catalytic activity similar to the wild‐type but exhibits reduced stability, a looser oligomeric state, and an increased tendency to precipitate ...
Tuo Li   +2 more
wiley   +1 more source

Inequalities for Riemann–Liouville-Type Fractional Derivatives of Convex Lyapunov Functions and Applications to Stability Theory

open access: yesMathematics, 2023
In recent years, various qualitative investigations of the properties of differential equations with different types of generalizations of Riemann–Liouville fractional derivatives were studied and stability properties were investigated, usually using ...
Ravi P. Agarwal   +2 more
doaj   +1 more source

Some new results on hermite-hadamard-mercer-type inequalities using a general family of fractional integral operators [PDF]

open access: yes, 2021
The aim of this article is to obtain new Hermite-Hadamard-Mercer-type inequalities using Raina's fractional integral operators. We present some distinct and novel fractional Hermite-Hadamard-Mercer-type inequalities for the functions whose absolute value
Set, Erhan, Aslan, Mucahit, Celik, Baris
core   +2 more sources

The (Glg)ABCs of cyanobacteria: modelling of glycogen synthesis and functional divergence of glycogen synthases in Synechocystis sp. PCC 6803

open access: yesFEBS Letters, EarlyView.
We reconstituted Synechocystis glycogen synthesis in vitro from purified enzymes and showed that two GlgA isoenzymes produce glycogen with different architectures: GlgA1 yields denser, highly branched glycogen, whereas GlgA2 synthesizes longer, less‐branched chains.
Kenric Lee   +3 more
wiley   +1 more source

ДРОБНОЕ ИСЧИСЛЕНИЕ И АППРОКСИМАЦИОННЫЕ МЕТОДЫ В МОДЕЛИРОВАНИИ ДИНАМИЧЕСКИХ СИСТЕМ [PDF]

open access: yes, 2008
Книга посвящена аппроксимационно-операционным методам моделирования динамических систем дробного и смешанного порядков. Рассмотрены методы аппроксимации сигналов обобщенными полиномами с различными системами базисных функций, построение на основе этих ...
Симак, Лилия Алексеевна   +1 more
core   +1 more source

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