Results 81 to 90 of about 4,589 (305)

The Langevin Equation in Terms of Generalized Liouville–Caputo Derivatives with Nonlocal Boundary Conditions Involving a Generalized Fractional Integral

, 2019
In this paper, we establish sufficient conditions for the existence of solutions for a nonlinear Langevin equation based on Liouville-Caputo-type generalized fractional differential operators of different orders, supplemented with nonlocal boundary ...
Srivastava, Hari M., Hari M. Srivastava, Bashir Ahmad, Sotiris K. Ntouyas, Madeaha Alghanmi, Alghanmi, Madeaha, Ahmed Alsaedi, Ahmad, Bashir, Ntouyas, Sotiris K., Alsaedi, Ahmed   +9 more
core   +1 more source

Nonlocal diffusion second order partial differential equations [PDF]

, 2017
The paper deals with a second order integro-partial differential equation in RnRn with a nonlocal, degenerate diffusion term. Nonlocal conditions, such as the Cauchy multipoint and the weighted mean value problem, are investigated.
MALAGUTI, Luisa, Benedetti, Irene, Loi, Nguyen Van, L. Malaguti, TADDEI, Valentina, N. V. Loi, V. Taddei   +6 more
core   +1 more source

A Pore or not a Pore? Understanding Pore Size Distributions of Non‐Graphitic Carbon and Atomically‐Dispersed M‐N‐C Materials

Advanced Science, EarlyView.
Gassorption analysis of in‐plane functionalized carbons reveals small, uniform ultramicropore signatures as potential artefacts of specific adsorption of the probe gases. Low‐pressure Langmuir fitting links these features to distinct functionalities via adsorption energies, enabling straightforward quantification of otherwise inaccessible surface‐site ...
Simon W. J. Dietzmann, Asad Mehmood, Jian Liang Low, Shu‐Han Wu, Carsten Prinz, Ana Guilherme Buzanich, Jörg Radnik, Paul A. Appel, Franziska Emmerling, Tim‐Patrick Fellinger   +9 more
wiley   +1 more source

Solutions of boundary value problems for loaded hyperbolic type equations

Қарағанды университетінің хабаршысы. Математика сериясы
This paper investigates a class of second-order partial differential equations describing wave processes with nonlocal effects, including cases involving fractional derivatives.
N.T. Orumbayeva, M.T. Kosmakova, T.D. Tokmagambetova, A.M. Manat   +3 more
doaj   +1 more source

On Stability of a Third Order of Accuracy Difference Scheme for Hyperbolic Nonlocal BVP with Self-Adjoint Operator

Abstract and Applied Analysis, 2013
A third order of accuracy absolutely stable difference schemes is presented for nonlocal boundary value hyperbolic problem of the differential equations in a Hilbert space H with self-adjoint positive definite operator A. Stability estimates for solution
Allaberen Ashyralyev, Ozgur Yildirim
doaj   +1 more source

Deep learning schemes for parabolic nonlocal integro-differential equations

Partial Differential Equations and Applications, 2022
AbstractIn this paper we consider the numerical approximation of nonlocal integro differential parabolic equations via neural networks. These equations appear in many recent applications, including finance, biology and others, and have been recently studied in great generality starting from the work of Caffarelli and Silvestre by Lius and Lius (Comm ...
openaire   +3 more sources

In‐Sensor Computing by Soft Threshold Logic Gates Under Different Humidity Conditions

Advanced Electronic Materials, EarlyView.
Soft nanocomposite materials, based on gold cluster‐assembled thin films implanted in polydimethylsiloxane substrate, can perform reliable processing in ambient environmental conditions. Humidity influences the resistive switching and computational capabilities of the nanocomposites, that can be used as multifunctional material combining sensing ...
Giacomo Nadalini, Paolo Milani, Francesca Borghi   +2 more
wiley   +1 more source

Machine Learning Interatomic Potentials for Energy Materials: Architectures, Training Strategies, and Applications

Advanced Energy Materials, EarlyView.
Machine learning interatomic potentials bridge quantum accuracy and computational efficiency for materials discovery. Architectures from Gaussian process regression to equivariant graph neural networks, training strategies including active learning and foundation models, and applications in solid‐state electrolytes, batteries, electrocatalysts ...
In Kee Park, Saeed Pourasad, Jinhong Mun, Arunkumar Chitteth Rajan, Tae Hyeon Park, Anand Rohit, Mohammad Zafari, Tan‐Lien Pham, Eunjae Jung, Bonseung Koo, Miran Ha, Gi Beom Sim, Hyun Gyu Park, Won Woong Choi, Kwanghyeon Jo, Soohaeng Yoo Willow, David ChangMo Yang, Chang Woo Myung, Geunsik Lee, Kwang S. Kim   +19 more
wiley   +1 more source

On the Second Order of Accuracy Stable Implicit Difference Scheme for Elliptic-Parabolic Equations

Abstract and Applied Analysis, 2012
We are interested in studying a second order of accuracy implicit difference scheme for the solution of the elliptic-parabolic equation with the nonlocal boundary condition. Well-posedness of this difference scheme is established.
Allaberen Ashyralyev, Okan Gercek
doaj   +1 more source

On the nonlinear impulsive Ψ–Hilfer fractional differential equations

Mathematical Modelling and Analysis, 2020
In this paper, we consider the nonlinear Ψ-Hilfer impulsive fractional differential equation. Our main objective is to derive the formula for the solution and examine the existence and uniqueness of solutions.
Kishor D. Kucche, Jyoti P. Kharade, J. Vanterler da C. Sousa   +2 more
doaj   +1 more source