Results 121 to 130 of about 9,068 (293)

The dissipative effect of Caputo–time-fractional derivatives and its implications for the solutions of nonlinear wave equations

In honor of the great Russian mathematician A. N. Kolmogorov, we would like to draw attention in the present paper to a curious mathematical observation concerning fractional differential equations describing physical systems, whose time evolution for ...
Macías Díaz, Jorge Eduardo, Cuevas-Maraver, Jesús, Bountis, Tassos, Cantisán Gómez, Julia, Kevrekidis, Panayotis G.   +4 more
core   +1 more source

Blood Biomarkers and Surface‐Enhanced Raman Spectroscopy for Gout: A Comprehensive Review

Advanced Functional Materials, EarlyView.
Schematic illustrating gout disease progression from asymptomatic hyperuricemia to chronic tophaceous disease, highlighting the limitations of conventional imaging and biochemical diagnostics and the potential of engineered SERS platforms for ultrasensitive blood‐based detection of urate‐related biomarkers across disease stages, with the color gradient
Isuri Perera, Chiranjeevi Kanike, Appurva Tiwari, Hongyan Wu, Larry D. Unsworth, Ben Bin Xu, Xuehua Zhang   +6 more
wiley   +1 more source

On the solutions of nonlinear stochastic fractional partial differential equations in one spatial dimension

, 2005
Existence, uniqueness and regularity of the trajectories of mild solutions of one-dimensional nonlinear stochastic fractional partial differential equations of order α>1α>1 containing derivatives of entire order and perturbed by space–time white noise ...
Dozzi, Marco, Debbi, Latifa
core   +2 more sources

The Existence and Uniqueness of the Solution of a Nonlinear Partial Differential Equation in the Eontinuous Functions of Holder and Sobolev Spaces

پژوهش‌های ریاضی, 2020
Introduction Complex analysis is a comparatively active branch in mathematics which has grown significantly. A deep look at the implications of continuity, derivative and integral in complex analysis and their relation with partial differential equations
Mozhgan Akbari, Fateme Joveini
doaj  

Physics-informed neural network with symbolic regression for deriving analytical approximate solutions to nonlinear partial differential equations

Neural Computing and Applications
Abstract This work explores an interpretable approach based on physics-informed neural networks (PINNs) combined with symbolic regression (SR) to determine mathematical expressions for the predicted solutions of nonlinear partial differential equations that describe arterial blood flow influenced by external magnetic fields.
Joy Das, Bivas Bhaumik, Soumen De, Satyasaran Changdar   +3 more
openaire   +1 more source

Partial quasianalyticity of distribution solutions to weakly nonlinear differential equations with weights assigned to derivatives

, 2020
We obtain conditions sufficient for the set of distribution solutions of a weakly nonlinear differential equation with weights assigned to derivatives to be a quasianalytic class with respect to part of the variables. The class of equations considered in
Shananin N.A.
core  

Powering Nanocrystal‐Based Heat Engines With Light‐Emitting Metasurfaces That Influence Their Temperature

Advanced Functional Materials, EarlyView.
Metasurfaces and other structured photonic environments can dramatically modify the absorption and/or light emission of semiconductors. However, the consequences of these changes on the temperature of the system are not well understood. The authors address this problem for colloidal nanocrystals and leverage their findings to convert light into ...
Hugo Kowalczyk, Yihao Yuan, Augustin Caillas, Amel Saidoun, Roméo Bonnet, Pascal Filloux, Emmanuel Lhuillier, Aloyse Degiron   +7 more
wiley   +1 more source

Research of Compatibility of the Redefined System for the Multidimensional Nonlinear Heat Equation (Special Case)

Известия Иркутского государственного университета: Серия "Математика", 2016
In paper the multidimensional equation of nonlinear heat conductivity is investigated. This equation is presented in the form of the overdetermined system of the differential equations with partial derivatives (the number of the equations are more than ...
G. Rudykh, E. Semenov
doaj  

Oxidized MoS2‐Based Multifunctional Memristive Hardware for Energy‐Efficient mmWave Signal Processing and In‐Memory Matrix Multiplication

Advanced Functional Materials, EarlyView.
Thermally oxidized MoS2‐based radio‐frequency switches enable a multifunctional platform that unifies broadband RF switching and in‐memory computation. The device achieves a cutoff frequency of 33.2 THz with high energy efficiency and supports hardware‐aware signal processing.
Juho Son, Changwoo Pyo, Sungmoon Park, Yoongi Cho, Seungchan Lee, Myungsoo Kim   +5 more
wiley   +1 more source

On a numerical method for recovery of fractional derivative order in the generalized wave equation

Известия высших учебных заведений. Поволжский регион: Физико-математические науки
Background. The purpose of the paper is the development of a computational algorithm for approximate recovery of derivative order in the generalized wave equation.
V.A. Ryazantsev
doaj   +1 more source