Results 101 to 110 of about 9,574,302 (235)

A Modified Generalized Laguerre Spectral Method for Fractional Differential Equations on the Half Line

Abstract and Applied Analysis, 2013
This paper deals with modified generalized Laguerre spectral tau and collocation methods for solving linear and nonlinear multiterm fractional differential equations (FDEs) on the half line.
D. Baleanu, A. H. Bhrawy, T. M. Taha
doaj   +1 more source

A Unifying Thermodynamic Model for Phase Separation and Aging of Biopolymers

Advanced Science, EarlyView.
Phase separation and aging of intrinsically disordered proteins are placed in a unifying framework. A thermodynamically consistent time‐dependent version of associating‐polymer theory shows how the processes are intricately coupled. Assuming aging to occur through interacting sites resulting from reversible conformational transitions, the model ...
Jasper J. Michels, Joana Caria, Edward A. Lemke   +2 more
wiley   +1 more source

Single‐Atom‐Enhanced Fully Inkjet‐Printed Electrochemical Sensor for Dopamine Detection

Advanced Science, EarlyView.
Fully inkjet‐printed paper‐based dopamine sensors are fabricated using nitrogen‐doped graphene acid functionalized with copper single atoms. The copper sites uniquely enhance dopamine oxidation through strong molecular adsorption, as verified by electrochemical measurements and DFT calculations. The approach highlights the potential of single‐atom inks
Martin‐Alex Nalepa, David Panáček, Vítězslav Hrubý, Matěj Jendrišák, Rostislav Langer, Michal Langer, Petr Jakubec, Ivan Dědek, Vojtěch Kupka, Michal Mazur, Radek Zbořil, Michal Otyepka   +11 more
wiley   +1 more source

A generalized spectral collocation method with tunable accuracy for variable-order fractional differential equations

, 2015
We generalize existing Jacobi--Gauss--Lobatto collocation methods for variable-order fractional differential equations using a singular approximation basis in terms of weighted Jacobi polynomials of the form (1 ± ϰ)μPja,b(ϰ), where μ > -1.
Zhang, Zhongqiang, Karniadakis, George E., Zeng, Fanhai   +2 more
core   +1 more source

Nanoscale Confinement Enhances Ultrafast Demagnetization

Advanced Science, EarlyView.
Next generation spintronics may depend on successfully combining femtosecond spin dynamics with nanoscale device miniaturization. We address this by systematically studying the effect of nanoscale confinement on the femtosecond demagnetization of Iron. By combining ultrafast experiments sensitive to spins, charge carriers, and phonons, we uncover a nm ...
Yoav William Windsor, Tobias Lojewski, Moumita Kundu, Klaus Sokolowski‐Tinten, Nico Rothenbach, Andrea Eschenlohr, Markus Ernst Gruner, Katharina Ollefs, Carolin Schmitz‐Antoniak, Soma Salamon, Daniela Zahn, Laurenz Rettig, Christian Schüßler‐Langeheine, Niko Pontius, Renkai Li, Mianzhen Mo, Suji Park, Xiaoshe Shen, Stephen Weathersby, Xijie Wang, Rossitza Pentcheva, Heiko Wende, Ulrich Nowak, Uwe Bovensiepen   +23 more
wiley   +1 more source

Numerical Solutions for Nonlinear Ordinary and Fractional Duffing Equations Using Combined Fibonacci–Lucas Polynomials

Axioms
Two nonlinear Duffing equations are numerically treated in this article. The nonlinear fractional-order Duffing equations and the second-order nonlinear Duffing equations are handled.
Waleed Mohamed Abd-Elhameed, Omar Mazen Alqubori, Amr Kamel Amin, Ahmed Gamal Atta   +3 more
doaj   +1 more source

BraMARS: An Interpretable Histopathology‐Driven Deep Learning Model for Brain Metastasis Risk Stratification in Surgically Resected Limited‐Stage SCLC

Advanced Science, EarlyView.
This study presents BraMARS, an explainable deep learning model that estimates future brain metastasis risk in surgically resected limited‐stage small‐cell lung cancer using routine H&E‐stained whole‐slide images. By linking model‐attributed spatial histopathology with clinical outcomes and proteomic programs, BraMARS provides a biologically ...
Zijian Yang, Taolue Wang, Shilong Liu, Zicheng Zhang, Yibo Zhang, Fan Yang, Bo Yu, Shuaishuai Gao, Yu Chen, Lin Yang, Meng Zhou   +10 more
wiley   +1 more source

A generalized scheme based on shifted Jacobi polynomials for numerical simulation of coupled systems of multi-term fractional-order partial differential equations

LMS J. Comput. Math., 2017
Due to the increasing application of fractional calculus in engineering and biomedical processes, we analyze a new method for the numerical simulation of a large class of coupled systems of fractional-order partial differential equations.
K. Shah, H. Khalil, R. Khan
semanticscholar   +1 more source

Diffusive representations for fractional Laplacian: systems theory framework and numerical issues [PDF]

, 2009
Bridging the gap between an abstract definition of pseudo-differential operators, such as (-\Delta)^{\gamma} for - 1/2 < \gamma < 1/2, and a concrete way to represent them has proved difficult; deriving stable numerical schemes for such operators is not ...
Matignon, Denis
core   +1 more source

Inverse Design of Pre‐Strain via a Predictive Electromechanical Model for Enhanced Strain Sensing

Advanced Science, EarlyView.
An analytical electromechanical model rooted in microcrack evolution mechanics is globally calibrated from only eight pre‐strain datasets, enabling prediction of the complete sensing response at untested pre‐strain values within the calibrated design space (R2 > 0.99).
Jia‐Chen Shang, Rui Wang, Bo Lu, Ming‐Liang Song, Yu‐Yi Chen, Kuo Han, Xin‐Jie Feng, Bin Sun, Yao‐Guang Cao, Xiao‐Yu Yan, Shi‐Chun Yang   +10 more
wiley   +1 more source