Results 141 to 150 of about 2,952,428 (298)

Galerkin Method For Fractional Diffusion Equation

, 2016
The one-dimensional fractional diffusion equation is studied systematically using the Galerkin method. The Caputo fractional derivative is used for formulation. An example is solved to assess the accuracy of the method.
Uçar, Mehmet Fatih, Çağlar, Hikmet
core   +1 more source

Influence of Fe Particle Size Distribution on Chemical Homogeneity, Microstructure, and Crack Formation in Fe–SiC Powder Blends Processed by PBF‐LB/M

Advanced Engineering Materials, EarlyView.
The influence of Fe particle size on in situ alloying of Fe–SiC powder blends in PBF‐LB/M is revealed. Contrary to expectations, the coarser Fe fraction provides a broader crack‐free processing window and slightly improved elemental homogeneity while producing higher but more variable hardness. The results highlight a complex trade‐off between particle
Anna Luise Strauch, Anastasiya Toenjes, Matthias Steinbacher   +2 more
wiley   +1 more source

Iterative Solution of Fractional Diffusion Equation Modelling Anomalous Diffusion [PDF]

, 2016
In this article, we study the fractional diffusion equation with spatial Riesz fractional derivative. The continuation of the solution of this fractional equation to the solution of the corresponding integer order equation is proved.
Elsaid, A., Shamseldeen, S., Madkour, S.
core   +1 more source

Wearable Smart Patches on Sustainable Chitosan With Reversible Microbial Growth‐Inhibitory Properties

Advanced Functional Materials, EarlyView.
ABSTRACT Chitosan, a polysaccharide upcycled from biowaste, has long promised sustainable, biocompatible, and antimicrobial films and devices, an appeal reinforced by its recent regulatory recognition, with several chitosan‐based antibacterial dressings gaining clearance through the Food and Drug Administration's 510(k) pathway.
Jacopo Nicoletti, Kubra Kocak, Andrea Michel, Enrico Cavarzerani, Ali Raza, Petr Rohzin, Nouha Loudhaief, Saimir Frroku, Nicolò Baldovin, Hazrat Bilal, Alvise Perosa, Maurizio Selva, Flavio Rizzolio, Luca Sbuelz, Sabrina Tamburini, Domenico De Fazio, Giovanni Antonio Salvatore   +16 more
wiley   +1 more source

Anomalous diffusion and fractional diffusion equations

, 2008
In this work we investigate the anomalous diffusion equations, usually applied to describe the anomalous diffusion, which employ fractional derivatives for the time or the spatial variables. In particular, we obtain exact solutions by taking a generic initial condition into account and developing a perturbation theory to investigate complex situations.
Gonçalves, Giane, Lenzi, Marcelo Kaminski, Moraes, Luciana de Souza, Lenzi, Ervin Kaminski, Andrade, Marcelo Freitas de   +4 more
openaire   +1 more source

Achieving High ON State Current through Ferroelectric Polarization‐Dependent Interfacial Resistance Switching in Undoped Orthorhombic HfO2 Films

Advanced Functional Materials, EarlyView.
Ferroelectric tunnel junction devices based on epitaxial undoped ferroelectric HfO2 films demonstrate stable switching endurance of over 106 switching cycles, low write voltages of ±3 V, 16 measured resistance states, and neuromorphic capability.
Markus Hellenbrand, Nuno Estrócio, Ji S. Kim, Babak Bakhit, Marian C. Istrate, Corneliu Ghica, Tiago Rebelo, Nives Strkalj, Abin Varghese, Bernardo Almeida, Luís S. Marques, Bipin Rajendran, Judith L. MacManus‐Driscoll, José P. B. Silva   +13 more
wiley   +1 more source

Bio‐Inspired Synthesis of Macroporous Single Crystal Particles as Scattering Agents

Advanced Functional Materials, EarlyView.
A general strategy is presented that delivers unique, single‐crystal microparticles that combine submicron macroporosity and uniform particle shapes. A bioinspired approach is used to occlude three distinct types of additives – polystyrene microspheres, polymer vesicles and amino acids – within calcite single crystals, and subsequent thermal annealing ...
Stephanie E. Foster, Gianni Jacucci, Ouassef Nahi, Thomas Kress, Zabeada Aslam, Stuart Micklethwaite, Alexander N. Kulak, Rik Drummond‐Brydson, Melinda J. Duer, Yi‐Yeoun Kim, Silvia Vignolini, Fiona C. Meldrum   +11 more
wiley   +1 more source

Fractional Diffusion Equations Solved via Log–Laplace Residual Power Series

Wasit Journal for Pure Sciences
In this paper, fractional diffusion equations of Caputo-Hadamard presented as interesting classes of fractional differential equations have not studied before.
Ali Zeki, Sameer Qasim Hasan
doaj   +1 more source

Electrospun Wood‐Derived Biopolymers as Electrodes in Electrochemical Energy Storage Technologies

Advanced Functional Materials, EarlyView.
Electrospinning transforms wood‐derived cellulose and lignin into architecturally defined, binder‐free carbon electrodes with tuneable porosity and functionality. This review shows how fibre design enables decoupled charge and mass transport, enhancing performance across battery systems, while identifying key challenges in spinnability, scalability ...
Michael W. Thielke, Hattie R. Chisnall, Jesus Vazquez Chavez, Ana B. Jorge Sobrido   +3 more
wiley   +1 more source

Hahn polynomials method for ψ-Caputo fractional diffusion-wave equation involving damping and reaction terms

Alexandria Engineering Journal
In this paper, the ψ-Caputo derivative is employed to develop a novel formulation of the fractional 2D diffusion-wave equation, incorporating damping and reaction terms.
M.H. Heydari, M.A. Zaky, D. Baleanu, M. Bayram   +3 more
doaj   +1 more source