Results 51 to 60 of about 183,387 (282)

Fractional L\'{e}vy-driven Ornstein--Uhlenbeck processes and stochastic differential equations

, 2011
Using Riemann-Stieltjes methods for integrators of bounded $p$-variation we define a pathwise integral driven by a fractional L\'{e}vy process (FLP). To explicitly solve general fractional stochastic differential equations (SDEs) we introduce an Ornstein-
Fink, Holger, Klüppelberg, Claudia
core   +1 more source

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, A. El-Nabulsi, A. El-Naulsi, A. Raspini, A.A. Kilbas, B. Ross, B.A. Carreras, D. Baleanu, D. Baleanu, D. Baleanu, D. Baleanu, D. Baleanu, F. Riewe, F.-Y. Ren, G.M. Zaslavsky, G.M. Zaslavsky, I. Podlubny, K. Nishimoto, K.B. Oldham, M. Naber, N. Laskin, N. Laskin, P. Zavada, S. Muslich, S. Vacaru, S. Vacaru, S. Vacaru, S. Vacaru, S. Vacaru, S. Vacaru, S. Vacaru, S. Vacaru, S. Vacaru, S. Vacaru, S. Vacaru, S. Vacaru, S. Vacaru, S. Vacaru, S. Vacaru, S. Vacaru, S. Vacaru, S. Vacaru, S. Vacaru, Sergiu I. Vacaru, V.E. Tarasov, V.E. Tarasov, V.E. Tarasov, V.E. Tarasov, V.E. Tarasov, V.E. Tarasov   +49 more
core   +1 more source

Social and Political Dimensions of Identity [PDF]

, 2008
We study the interior regularity of solutions to the Dirichlet problem Lu = g in Omega, u = 0 in R-nOmega, for anisotropic operators of fractional type Lu(x) = integral(+infinity)(0) dp integral(Sn-1) da(w) 2u(x) - u(x + rho w) - u(x - rho w)/rho(1+2s ...
E. Valdinoci, X. Ros Oton
core   +2 more sources

Generalized integral inequalities for ABK-fractional integral operators

AIMS Mathematics, 2021
في هذه الورقة، نوظف إصدارًا جديدًا من مشغل Atangana - Baleanu المتكامل وهو تكامل كسري بقيمة $ ABK $ للحصول على هويتين متكاملتين عامتين تمتثلان لمشتقات من الدرجة الثانية لوظيفة معينة. مما يسمح لنا باشتقاق متباينات جديدة معممة من نوع Hermite - Hadamard عبر التكاملات الجزئية $ ABK $.
Saad Ihsan Butt, Erhan Set, Saba Yousaf, Thabet Abdeljawad, Wasfı Shatanawi   +4 more
openaire   +3 more sources

On integral inequalities related to the weighted and the extended Chebyshev functionals involving different fractional operators

Journal of Inequalities and Applications, 2020
The role of fractional integral operators can be found as one of the best ways to generalize classical inequalities. In this paper, we use different fractional integral operators to produce some inequalities for the weighted and the extended Chebyshev ...
Barış Çelik, Mustafa Ç. Gürbüz, M. Emin Özdemir, Erhan Set   +3 more
doaj   +1 more source

An Alternative Method for Solving a Certain Class of Fractional Kinetic Equations

, 2010
An alternative method for solving the fractional kinetic equations solved earlier by Haubold and Mathai (2000) and Saxena et al. (2002, 2004a, 2004b) is recently given by Saxena and Kalla (2007).
A Saichev, A Wiman, AM Mathai, BN Al-Saqabi, G.M. Mittag-Leffler, GM Zaslavsky, HJ Haubold, I Podlubny, KB Oldham, KS Miller, MM Dzherbashyan, MM Dzherbashyan, R Hilfer, RK Saxena, RK Saxena, RK Saxena, RK Saxena, RK Saxena, RK Saxena, RK Saxena, RK Saxena, TF Nonnenmacher, WG Gloeckle   +22 more
core   +1 more source

Disordered but rhythmic—the role of intrinsic protein disorder in eukaryotic circadian timing

FEBS Letters, EarlyView.
Unstructured domains known as intrinsically disordered regions (IDRs) are present in nearly every part of the eukaryotic core circadian oscillator. IDRs enable many diverse inter‐ and intramolecular interactions that support clock function. IDR conformations are highly tunable by post‐translational modifications and environmental conditions, which ...
Emery T. Usher, Jacqueline F. Pelham
wiley   +1 more source

Time dependent delta-prime interactions in dimension one [PDF]

, 2016
We solve the Cauchy problem for the Schr\"odinger equation corresponding to the family of Hamiltonians $H_{\gamma(t)}$ in $L^{2}(\mathbb{R})$ which describes a $\delta'$-interaction with time-dependent strength $1/\gamma(t)$.
Cacciapuoti, Claudio, Mantile, Andrea, Posilicano, Andrea   +2 more
core   +1 more source

Time after time – circadian clocks through the lens of oscillator theory

FEBS Letters, EarlyView.
Oscillator theory bridges physics and circadian biology. Damped oscillators require external drivers, while limit cycles emerge from delayed feedback and nonlinearities. Coupling enables tissue‐level coherence, and entrainment aligns internal clocks with environmental cues.
Marta del Olmo, Carolin Ector, Hanspeter Herzel   +2 more
wiley   +1 more source

New Inequalities Using Multiple Erdélyi–Kober Fractional Integral Operators

Fractal and Fractional
The role of fractional integral inequalities is vital in fractional calculus to develop new models and techniques in the most trending sciences. Taking motivation from this fact, we use multiple Erdélyi–Kober (M-E-K) fractional integral operators to ...
Asifa Tassaddiq, Rekha Srivastava, Rabab Alharbi, Ruhaila Md Kasmani, Sania Qureshi   +4 more
doaj   +1 more source