Results 91 to 100 of about 13,293 (292)

Ergodicity of hypoeliptic SDEs driven by fractional Brownian motion [PDF]

, 2009
We demonstrate that stochastic differential equations (SDEs) driven by fractional Brownian motion with Hurst parameter H > 1/2 have similar ergodic properties as SDEs driven by standard Brownian motion.
Hairer, Martin, Pillai, Natesh S.
core  

Volterra integral equations and fractional calculus: Do neighbouring solutions intersect? [PDF]

, 2012
This is the author's PDF version of an article published in Journal of Integral Equations and Applications. The definitive version is available at rmmc.asu.edu/jie/jie.html.This journal article considers the question of whether or not the solutions to ...
Diethelm, Kai, Ford, Neville J.
core   +1 more source

Fractional Calculus of Analytic Functions Concerned with Möbius Transformations

Journal of Function Spaces, 2016
Let A be the class of functions f(z) in the open unit disk U with f(0)=0 and f′(0)=1. Also, let w(ζ) be a Möbius transformation in U for some z∈U.
Nicoleta Breaz, Daniel Breaz, Shigeyoshi Owa   +2 more
doaj   +1 more source

KDM7A and KDM1A inhibition suppresses tumour promoting pathways in prostate cancer

Molecular Oncology, EarlyView.
Treatment resistance is a major challenge for patients with advanced prostate cancer. This study examined an alternative approach to target the major prostate cancer‐promoting pathway by targeting epigenetic factors, whose levels are higher in tumours.
Jennie N Jeyapalan, Veronika M Metzler, Simone de Brot, Corinne L Woodcock, Anna E Harris, Jennifer Lothion‐Roy, Emeli M Nilsson, Atara Ntekim, Michael S Toss, Jenny L Persson, Francesca Khani, Brian D Robinson, Lorraine J Gudas, Emad Rakha, David M Heery, Catrin S Rutland, Nigel P Mongan   +16 more
wiley   +1 more source

Fractional dynamical model for the generation of ECG like signals from filtered coupled Van-der Pol oscillators

, 2013
In this paper, an incommensurate fractional order (FO) model has been proposed to generate ECG like waveforms. Earlier investigation of ECG like waveform generation is based on two identical Van-der Pol (VdP) family of oscillators, which are coupled by ...
Das, Saptarshi, Maharatna, Koushik
core   +1 more source

Cell‐cycle‐specific lesion evolution rather than inhibition of double‐strand‐break repair underpins cisplatin radiosensitization

Molecular Oncology, EarlyView.
We analyze cisplatin–DNA adducts (CDAs) and double‐strand breaks (DSBs) in a cell‐cycle‐dependent manner. We find that CDAs form similarly across all cell cycle phases. DSBs arise only in S‐phase. CDAs might not directly impair DSB repair, but S‐phase DSB lesions evolve in the presence of CDAs and disrupt repair in G2, also causing radiosensitization ...
Ye Qiu, Xixi Lin, Emil Mladenov, Veronika Mladenova, Jürgen Thomale, Ali Sak, Yao Wang, Yunxuan Deng, Eleni Gkika, Martin Stuschke, George Iliakis   +10 more
wiley   +1 more source

Particular Solutions for Linear Third Order Differential Equations by N-Fractional Calculus Operator N(γ)

, 2008
[[abstract]]There are many articles that are concerned with the application of fractional calculus for solving differential equations. In this paper, we apply the N-fractional calculus operator N(γ) developed by Nishimoto to solve some liner third order ...
Chung-Yi Lee, Wen-Chyuan Yueh
core  

Fractional robust control of ligthly damped systems [PDF]

, 2006
The article proposes a method to design a robust controller ensuring the damping ratio of a closed-loop control. The method uses a contour para-meterized by the damping ratio in the Nichols plane and the complex non-integer (or fractional)differentiation
Janat, Yaman, Oustaloup, Alain, Pommier-Budinger, Valérie, Lanusse, Patrick   +3 more
core  

An application of fractional calculus to dielectric relaxation processes

, 2012
Recently fractional calculus has been successfully applied in the description of complex dynamics and proved to be a valuable tool for the solution of non-linear differential equations.
Çavuş M., Bozdemir S.
core   +1 more source

Semilocal convergence of Newton-like methods under general conditions with applications in fractional calculus

Journal of Numerical Analysis and Approximation Theory, 2015
We present a semilocal convergence study of Newton-like methods on a generalized Banach space setting to approximate a locally unique zero of an operator.
George A. Anastassiou, Ioannis K. Argyros   +1 more
doaj   +2 more sources