Results 101 to 110 of about 1,811 (235)

Fractional Definite Integral

open access: yesFractal and Fractional, 2017
This paper proposes the definition of fractional definite integral and analyses the corresponding fundamental theorem of fractional calculus. In this context, we studied the relevant properties of the fractional derivatives that lead to such a definition.
Manuel Ortigueira, José Machado
doaj   +1 more source

Approximations for Fractional Derivatives and Fractional Integrals Using Padé Approximation

open access: yesJournal of Applied Mathematics
This paper tackles the persistent challenge of slow convergence and numerical instability in the fractional calculus when applied to power series–representable functions , limitations that compromise accuracy in scientific applications. A novel reformulation of fractional derivatives and integrals is achieved by applying Padé approximation to ...
Ahmed M. Youssef   +3 more
openaire   +1 more source

The Shewanella oneidensis Fic enzyme SoFic targets the switch‐I region of EF‐Tu for AMPylation

open access: yesFEBS Letters, EarlyView.
Fic enzymes mediate diverse post‐translational modifications across all domains of life, including AMPylation. Prokaryotic EF‐Tu can be AMPylated and deAMPylated by the conserved Fic enzyme SoFic. Structural and biochemical approaches were used to characterize the effect of AMPylation on EF‐Tu, SoFic's enzymatic activities, and the enzyme‐target ...
Svenja Runge   +6 more
wiley   +1 more source

Integrated technology fractional order proportional-integral-derivative design

open access: yesJournal of Vibration and Control, 2013
In this paper an integrated circuit (IC) design of the fractional order proportional-integral-derivative (PID) controller is proposed. The development of the IC device is realized in Cadence environment, using the switched capacitors (SC) technology in order to reduce the area on the silicon wafer and to improve the electrical controllability. In order
CAPONETTO, Riccardo   +3 more
openaire   +2 more sources

Prospecting the protein design landscape

open access: yesFEBS Letters, EarlyView.
This review outlines the current state of various protein design approaches. We discuss the current possibilities enabled by recently released tools, highlight future avenues to pursue in protein design, and underscore the crucial role of key databases and resources for successful protein design workflows.
Jakob R. Riccabona   +4 more
wiley   +1 more source

The Stability of Non-standard Finite Difference Scheme for Solution of Partial Differential Equations of Fractional Order

open access: yesپژوهش‌های ریاضی, 2015
Fractional derivatives and integrals are new concepts of derivatives and integrals of arbitrary order. Partial differential equations whose derivatives can be of fractional order are called fractional partial differential equations (FPDEs).
M. Arab Ameri, E Mir Mehrabi
doaj  

Fractional Representation Formulae Under Initial Conditions and Fractional Ostrowski Type Inequalities

open access: yesDemonstratio Mathematica, 2015
Here we present very general fractional representation formulae for a function in terms of the fractional Riemann-Liouville integrals of different orders of the function and its ordinary derivatives under initial conditions.
Anastassiou George A.
doaj   +1 more source

Further properties of Osler's generalized fractional integrals and derivatives with respect to another function [PDF]

open access: yes, 2019
In this paper we discuss fractional integrals and fractional derivatives of a function with respect to another function. We present some fundamental properties for both types of fractional operators, such as Taylor’s theorem, Leibniz and semigroup ...
Almeida, Ricardo
core   +1 more source

L‐aspartate oxidase provides new insights into fumarate reduction in anaerobic darkness in Synechocystis sp. PCC6803

open access: yesFEBS Letters, EarlyView.
Synechocystis strains deficient in succinate dehydrogenase (SDH) secrete more succinate than the WT under dark anaerobic conditions, supporting that SDH then primarily acts as SDH, not as a fumarate reductase. L‐aspartate oxidase (Laspo) from Synechocystis is functional under anaerobic conditions, reducing fumarate to succinate.
Kateryna Kukil   +3 more
wiley   +1 more source

Metastatic niche shaped by host factors influences disseminated cancer cell fate

open access: yesFEBS Letters, EarlyView.
Metastasis is shaped not only by cancer cells but also by the environments they encounter. This review explores how factors such as aging, diet, the microbiome, lifestyle, and environmental exposures remodel organ‐specific niches in the lung, liver, bone, and brain, influencing where metastatic cells survive, remain dormant, or grow, and ultimately ...
Gwennan Delyth Ward   +2 more
wiley   +1 more source

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