Results 131 to 140 of about 2,952,428 (298)

Two definitions of the generalized Cauchy problem for semi-linear diffusion equation with fractional derivative with respect to time

Karpatsʹkì Matematičnì Publìkacìï, 2013
Different equivalent definitions of the Cauchy problem for semi-linear diffusion equation with fractional derivative with respect to time and with the generalized function in the initial condition are offered. The existence and uniqueness theorem and the
A. O. Lopushansky, H. P. Lopushanska, O. V. Pasichnyk   +2 more
doaj   +1 more source

On the Speed of Spread for Fractional Reaction‐Diffusion Equations [PDF]

International Journal of Differential Equations, 2009
The fractional reaction diffusion equation ∂tu + Au = g(u) is discussed, where A is a fractional differential operator on ℝ of order α ∈ (0, 2), the C1 function g vanishes at ζ = 0 and ζ = 1, and either g ≥ 0 on (0, 1) or g < 0 near ζ = 0. In the case of nonnegative g, it is shown that solutions with initial support on the positive half axis spread ...
openaire   +5 more sources

Anticorrosive Performance of Smart Epoxy Coatings With Poly(urea‐formaldehyde) Microcapsules Filled With 5‐Ethylidene‐2‐norbornene

Advanced Engineering Materials, EarlyView.
PUF/ENB microcapsules were synthesized based on a sequential factorial design and incorporated into an epoxy matrix. Their anticorrosive action, associated with the self‐healing mechanism, demonstrated that the addition of microcapsules to the coating improved anticorrosive performance compared to pure epoxy coatings, particularly when the encapsulate ...
Vandicleya Alves Moreira, Maria Paula de Carvalho Freire, Ygor Matheus Pereira de Paula, Ana Leticia Santos, Alice da Costa Silva, Nicolau Apoena Castro, Maria Carolina Burgos Costa   +6 more
wiley   +1 more source

Electrodeposition in Structural Lattices of Variable Architectures

Advanced Engineering Materials, EarlyView.
Electrodeposition enables geometry‐sensitive, autonomous void filling while simultaneously tuning chemical and mechanical properties. The development of approaches that can autonomously fill and heal material voids and yield composites with tailorable properties is increasingly relevant in engineering.
Yeong‐Man Kwon, Jingwen Zhang, Guido Musso, Alessandro F. Rotta Loria   +3 more
wiley   +1 more source

Analytical solution of the time fractional diffusion equation and fractional convection-diffusion equation

, 2019
In this paper, we obtain analytical solutions for the time-fractional diffusion and time-fractional convection-diffusion equations. These equations are obtained from the standard equations by replacing the time derivative with a fractional derivative of ...
V. F. Morales-Delgado, J. F. Gomez-Aguilar, M. A. Taneco-Hernandez   +2 more
core  

Microstructure‑Dependent Phase Transformations Under High‑Pressure Laser Heating in Additively Manufactured AlCrFe2Ni2

Advanced Engineering Materials, EarlyView.
Additively manufactured AlCrFe2Ni2 with contrasting BCC/B2‐dominant and lamellar FCC + BCC/B2 microstructures exhibits the same pressure‐induced BCC/B2 → HCP transformation. Under laser heating at high pressure, HCP is destabilized, and a cubic BCC/B2 + FCC assemblage is recovered, while the lower‐scan‐speed microstructure transforms at a lower ...
Raimundas Sereika, Hunter Kantelis, Yogesh K. Vohra, Shengbiao Zhang, Wuxian Yang, Wen Chen   +5 more
wiley   +1 more source

Regularized long wave equations and diffusion equation using Tantawy least square method

Boundary Value Problems
This paper presents a new semi-analytical method, the Tantawy Least Squares Method (TLSM), to solve fractional-order regularised long wave (RLW) equation, diffusion equations, and Rosenau-Hyman (RH) equation.
Waleed Hamali, Musaad S. Aldhabani, Musawa Yahya Almusawa, Abdullah Ali H. Ahmadini, Samaruddin Jebran   +4 more
doaj   +1 more source

Computationally efficient methods for solving time-variable-order time-space fractional reaction-diffusion equation [PDF]

, 2012
Fractional differential equations are becoming more widely accepted as a powerful tool in modelling anomalous diffusion, which is exhibited by various materials and processes.
Yang, Qianqian, Liu, Fawang, Moroney, Timothy J., Turner, Ian   +3 more
core  

Thermal Cycle–Microstructure–Property Relationships in Rail Steel Heat‐Affected Zone Simulated by Gleeble

Advanced Engineering Materials, EarlyView.
Microstructural evolution of premium rail steel during flash butt welding (FBW), comparing physically simulated heat‐affected zones with actual weld regions. Thermal cycles induce phase transformations and microstructural heterogeneity that influence weld quality and mechanical performance. These findings provide insights into optimizing FBW parameters
Emmanoelle Cintra da Cunha Araújo, João Marcos da Silva Nunes, Marcelly Cristiny Nunes de Carvalho, Alex Rojas, Cristie Luis Kugelmeier, Cristhian Ricardo Loayza Loayza, João Carlos Ferreira, Maria Veronica Goncalves Rodrigues, Rute Sayuri Kano, Isaac Araújo Furtado, Jacyara Dalylla da Silva Nunes, Jhonatan Peres de Sousa, Marcos Natan da Silva Lima, Eden Santos Silva, Gedeon Silva Reis, Samuel Filgueiras Rodrigues   +15 more
wiley   +1 more source

Microstructural Evolution and In Situ Formation of TiB and TiC in Ti─5Al─2.5Sn Alloy Processed by Powder Metallurgy

Advanced Engineering Materials, EarlyView.
Accelerated in situ formation of TiB and TiC in Ti–5Al–2.5Sn–B4C is driven by transient liquid phase formation, which enhances particle reactions and microstructural evolution. This process increases hardness and establishes a coupled relationship between sintering temperature and reinforcement content, strongly influencing porosity in the resulting ...
Fernando. Y. Kojima, Juliano. Soyama
wiley   +1 more source