Results 181 to 190 of about 713,574 (373)

Fractional Time-Delayed Differential Equations: Applications in Cosmological Studies

Fractal and Fractional
Fractional differential equations model processes with memory effects, providing a realistic perspective on complex systems. We examine time-delayed differential equations, discussing first-order and fractional Caputo time-delayed differential equations.
Bayron Micolta-Riascos, Byron Droguett, Gisel Mattar Marriaga, Genly Leon, Andronikos Paliathanasis, Luis del Campo, Yoelsy Leyva   +6 more
doaj   +1 more source

A Time-Space Collocation Spectral Approximation for a Class of Time Fractional Differential Equations [PDF]

, 2012
Fenghui Huang
openalex   +1 more source

On the solutions of fuzzy fractional differential equation

, 2014
In this paper the exact and the approximate solutions of fuzzy fractional differential equation, in the sense of Caputo Hukuhara differentiability, with a fuzzy condition are constructed by using the fuzzy Laplace transform. The obtained solutions are expressed in the form of the fuzzy Mittag-Leffler function.
TAKACİ, Djurdjica, TAKACİ, Arpad, TAKACİ, Aleksandar   +2 more
openaire   +2 more sources

Micromechanical Characterization of 316L‐V4E Steel Transitions Produced by Electron Beam Powder Bed Fusion with Dual‐Hopper Alternating Layer Strategy

Advanced Engineering Materials, EarlyView.
This work applies High‐Speed Nanoindentation to study multi‐material transitions in powder bed fusion–electron beam melting components. The aim is to assess the mechanical gradients and interfacial behavior between American iron and steel institute 316L stainless steel and V4E tool steel in additively manufactured structures.
Laia Ortiz‐Membrado, William Sjöström, Francesc Barberà Flichi, Carlos Botero, Anton S. Tremsin, Antonio Mateo, Emilio Jiménez‐Piqué   +6 more
wiley   +1 more source

Fabrication‐Directed Entanglement for Designing Chiral and Anisotropic Metamaterial Foams

Advanced Engineering Materials, EarlyView.
This work introduces fabrication‐directed entanglement (FDE), combining viscous thread printing and topology optimization to program entangled foams with spatially patterned stiffness. By tuning coil density, FDE enables anisotropy, programmable Poisson's ratio, and chirality in foams.
Daniel Revier, Brett Emery, Jacob Miske, Jeffrey Lipton   +3 more
wiley   +1 more source

Exploring Microstructure–Physical Property–Corrosion Response Relationship in Intermetallic Compounds of Al‐Cu Bimetallic Interfaces

Advanced Engineering Materials, EarlyView.
Al‐Cu intermetallic compounds (IMCs) have a significant influence on the properties of Al‐Cu bimetallic interfaces formed in compound casting. This article provides a deeper understanding of microstructure, crystallography, thermal properties, hardness, and corrosion response of Al‐Cu IMCs with the goal of facilitating the optimization of the ...
Alireza Nazarahari, Tatiana Blank, Christian Hinte, Huseyin Can Ozdemir, Khemais Barienti, Christian Klose, Dermican Canadinc, Hans Jürgen Maier   +7 more
wiley   +1 more source

Fractional Differential Equations

, 2017
Fractional calculus, the branch of mathematics dealing with derivatives and integrals of non-integer order, began as a mere mathematical curiosity during the time of Leibniz but through the years has developed into a very dynamic field of research. Famous mathematicians such as Riemann, Liouville, Grunwald, Euler, Lagrange, Caputo and
openaire   +1 more source

X‐Ray Tomography Analysis of Damage Mechanisms in Metal Matrix Syntactic Foams During Compression

Advanced Engineering Materials, EarlyView.
In situ synchrotron X‐ray tomography is used to investigate the internal damage mechanisms of AlSi12 metal matrix syntactic foam with ceramic hollow spheres during compressive loading. It is concluded that a homogeneous distribution of the second‐phase filler material results in a sequential collapse in a localized region; this leads to controlled and ...
Indrajeet Tambe, János Endre Maróti, Imre Norbert Orbulov, Zoltan Hegedűs, Markus Ziehmer, Carl E. Krill III, Håkan Hallberg, Pär A. T. Olsson, Johan Hektor   +8 more
wiley   +1 more source

Rate of convergence to equilibrium of fractional driven stochastic differential equations with rough multiplicative noise [PDF]

, 2018
Aurélien Deya, Fabien Panloup, Samy Tindel   +2 more
openalex   +1 more source

Numerical Model and Experimental Validation of Composite Metal Foam in Protecting Carbon Steel Against Puncture

Advanced Engineering Materials, EarlyView.
The puncture prevention and energy absorption performance of composite metal foam (CMF) are studied experimentally and numerically for hazardous materials transportation protection. The numerical model implementing air within the CMF (nonhomogeneous model using fluid cavity technique) predicts puncture more accurately compared to the homogeneous CMF ...
Aman Kaushik, Afsaneh Rabiei
wiley   +1 more source