Results 71 to 80 of about 621,794 (386)
Fractional Dynamics from Einstein Gravity, General Solutions, and Black Holes
, 2010 We study the fractional gravity for spacetimes with non-integer dimensions. Our constructions are based on a geometric formalism with the fractional Caputo derivative and integral calculus adapted to nonolonomic distributions.
A. Carpinteri +49 more
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Identification of novel small molecule inhibitors of ETS transcription factors
FEBS Letters, EarlyView.ETS transcription factors play an essential role in tumourigenesis and are indispensable for sprouting angiogenesis, a hallmark of cancer, which fuels tumour expansion and dissemination. Thus, targeting ETS transcription factor function could represent an effective, multifaceted strategy to block tumour growth. The evolutionarily conserved E‐Twenty‐Six
Shaima Abdalla +9 more
wiley +1 more source
Fractional Calculus and Shannon Wavelet [PDF]
Mathematical Problems in Engineering, 2012 An explicit analytical formula for the any order fractional derivative of Shannon wavelet is given as wavelet series based on connection coefficients. So that for any L2(ℝ) function, reconstructed by Shannon wavelets, we can easily define its fractional derivative.
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Discretized fractional substantial calculus [PDF]
ESAIM: Mathematical Modelling and Numerical Analysis, 2014 This paper discusses the properties and the numerical discretizations of the fractional substantial integral $$I_s^ f(x)=\frac{1}{ ( )} \int_{a}^x{\left(x- \right)^{ -1}}e^{- (x- )}{f( )}d , >0, $$ and the fractional substantial derivative $$D_s^ f(x)=D_s^m[I_s^ f(x)], =m- ,$$ where $D_s=\frac{\partial}{\partial x}+ =D+ $, $ $ can ...
Minghua Chen, Weihua Deng
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Introducción al Cálculo Fraccional [PDF]
, 2020 The following material was created with the idea of being used for an introductory fractional calculus course. A recapitulation of the history of fractional calculus is presented, as well as the different attempts at fractional derivatives that existed before current definitions.
arxiv +1 more source
A naturally emerging bivariate Mittag-Leffler function and associated fractional-calculus operators [PDF]
Computational and Applied Mathematics, 2020 We define an analogue of the classical Mittag-Leffler function which is applied to two variables, and establish its basic properties. Using a corresponding single-variable function with fractional powers, we define an associated fractional integral ...
A. Fernandez +2 more
semanticscholar +1 more source
Basics of Qualitative Theory of Linear Fractional Difference Equations [PDF]
, 2012 Tato doktorská práce se zabývá zlomkovým kalkulem na diskrétních množinách, přesněji v rámci takzvaného (q,h)-kalkulu a jeho speciálního případu h-kalkulu.
Kisela, Tomáš
core
miRNA‐29 regulates epidermal and mesenchymal functions in skin repair
FEBS Letters, EarlyView.miRNA‐29 inhibits cell‐to‐cell and cell‐to‐matrix adhesion by silencing mRNA targets. Adhesion is controlled by complex interactions between many types of molecules coded by mRNAs. This is crucial for keeping together the layers of the skin and for regenerating the skin after wounding.
Lalitha Thiagarajan +10 more
wiley +1 more source
Transactions of the American Mathematical Society, Series BWe derive Itô–type change of variable formulas for smooth functionals of irregular paths with nonzero p p th variation along a sequence of partitions, where p ≥ 1 p \geq 1 is arbitrary, in terms of fractional derivative operators.
Cont, R, Jin, R
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Application of Fractional Calculus in Engineering [PDF]
, 2011 Fractional Calculus (FC) goes back to the beginning of the theory of differential calculus. Nevertheless, the application of FC just emerged in the last two decades. It has been recognized the advantageous use of this mathematical tool in the modelling and control of many dynamical systems.
Machado, J. A. Tenreiro +4 more
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