Results 71 to 80 of about 242,413 (342)

Gradient Bounds for Solutions of Stochastic Differential Equations Driven by Fractional Brownian Motions [PDF]

, 2011
We study some functional inequalities satisfied by the distribution of the solution of a stochastic differential equation driven by fractional Brownian motions.
Cheng Ouyang, David Nualart, Fabrice Baudoin, To Pr   +3 more
core  

Fractional generalization of Kac integral [PDF]

Communications in Nonlinear Science and Numerical Simulation, 2008
Generalization of the Kac integral and Kac method for paths measure based on the Levy distribution has been used to derive fractional diffusion equation. Application to nonlinear fractional Ginzburg-Landau equation is discussed.
Tarasov, Vasily E., Zaslavsky, George M.
openaire   +2 more sources

A methionine‐lined active site governs carbocation stabilization and product specificity in a bacterial terpene synthase

FEBS Letters, EarlyView.
This study reveals a unique active site enriched in methionine residues and demonstrates that these residues play a critical role by stabilizing carbocation intermediates through novel sulfur–cation interactions. Structure‐guided mutagenesis further revealed variants with significantly altered product profiles, enhancing pseudopterosin formation. These
Marion Ringel, Carl P. O. Helmer, Shani Zev, Ronja Driller, Emily Buhr, Markus Reinbold, Renana Schwartz, Gabriel Foley, Mikael Boden, Daniel Garbe, Gerhard Schenk, Dan Thomas Major, Bernhard Loll, Thomas Brück   +13 more
wiley   +1 more source

Fractional unit-root tests allowing for a fractional frequency flexible Fourier form trend: predictability of Covid-19

Advances in Difference Equations, 2021
In this study we propose a fractional frequency flexible Fourier form fractionally integrated ADF unit-root test, which combines the fractional integration and nonlinear trend as a form of the Fourier function.
Tolga Omay, Dumitru Baleanu
doaj   +1 more source

Stochastic Differential Equations Driven by Fractional Brownian Motion and Standard Brownian Motion

, 2008
We prove an existence and uniqueness theorem for solutions of multidimensional, time dependent, stochastic differential equations driven simultaneously by a multidimensional fractional Brownian motion with Hurst parameter H>1/2 and a multidimensional ...
David Nualart, Hamadouche D., João Guerra, Kolmogorov A.N., Lyons T., Lyons T., Nualart D., Samko S.G., Skorokhod A.V., Yamada T.   +9 more
core   +2 more sources

Valosin‐containing protein counteracts ATP‐driven dissolution of FUS condensates through its ATPase activity in vitro

FEBS Letters, EarlyView.
Biomolecular condensates formed by fused in sarcoma (FUS) are dissolved by high ATP concentrations yet persist in cells. Using a reconstituted system, we demonstrate that valosin‐containing protein (VCP), an AAA+ ATPase, counteracts ATP‐driven dissolution of FUS condensates through its D2 ATPase activity.
Hitomi Kimura, Shin‐ichi Tate, Kyota Yasuda   +2 more
wiley   +1 more source

An isoform of 14‐3‐3 protein regulates transbilayer lipid movement at the plasma membrane

FEBS Letters, EarlyView.
Loss of 14‐3‐3ζ in CHO cells confers resistance to exogenous phosphatidylserine (PS) and impairs endocytosis‐independent inward flip‐flop of fluorescent PS at the plasma membrane. RNAi‐mediated knockdown reproduces this defect, while no additive effect is seen in ATP11C‐deficient cells.
Akiko Yamaji‐Hasegawa, Akira Hattori, Masafumi Tsujimoto, Toshihide Kobayashi   +3 more
wiley   +1 more source

Adaptive Fractional Differencing for Learning-Optimal Long-Memory Preservation

IEEE Access
Forecasting and prediction in financial time series are fundamentally challenging due to non-stationarity and long-range dependence (LRD) nature of such series.
Sarit Maitra
doaj   +1 more source

Integrable fractional modified Korteweg–deVries, sine-Gordon, and sinh-Gordon equations [PDF]

, 2022
Mark J. Ablowitz, Joel B. Been, Lincoln D. Carr   +2 more
openalex   +1 more source

ON FRACTIONAL VOLTERRA INTEGRODIFFERENTIAL EQUATIONS WITH FRACTIONAL INTEGRABLE IMPULSES

Mathematical Modelling and Analysis, 2019
We consider a class of nonlinear fractional Volterra integrodifferential equation with fractional integrable impulses and investigate the existence and uniqueness results in the Bielecki’s normed Banach spaces. Further, Bielecki-Ulam type stabilities have been demonstrated on a compact interval. A concrete example is provided to illustrate the outcomes
Sagar Sutar, Kishor D. Kucche
openaire   +5 more sources