Results 81 to 90 of about 26,220 (280)

Dynamic Analysis of a Fractional-Order Economic Model: Chaos and Control

Fractal and Fractional
Fractional calculus in discrete-time is a recent field that has drawn much interest for dealing with multidisciplinary systems. A result of this tremendous potential, researchers have been using constant and variable-order fractional discrete calculus in
Ali Aloui, Louiza Diabi, Omar Kahouli, Adel Ouannas, Lilia El Amraoui, Mohamed Ayari   +5 more
doaj   +1 more source

On Hilfer fractional difference operator

Advances in Difference Equations, 2020
In this article, a new definition of fractional Hilfer difference operator is introduced. Definition based properties are developed and utilized to construct fixed point operator for fractional order Hilfer difference equations with initial condition. We
Syed Sabyel Haider, Mujeeb ur Rehman, Thabet Abdeljawad   +2 more
doaj   +1 more source

Characterization of a Recyclate‐Based MgO‐Steel Composite As‐Sintered Inert Anode Candidate After Exposure to Cryolite Electrolysis

Advanced Engineering Materials, EarlyView.
Carbon‐free inert anodes are essential for decarbonizing aluminum electrolysis. This study investigates a recyclate‐based MgO‐316L steel composite anode tested under galvanostatic Hall–Héroult conditions in cryolite at 1000°C. Microstructural analysis reveals selective MgO fluorination, spinel and oxide layer formation, electrolyte infiltration, and ...
Serhii Yaroshevskyi, Alexander Adamczyk, Nora Brachhold, Gert Schmidt, Jana Hubálková, R. Gumeniuk, Alexandros Charitos, Christos G. Aneziris   +7 more
wiley   +1 more source

Introduction to multifractional spacetimes

, 2012
We informally review the construction of spacetime geometries with multifractal and, more generally, multiscale properties. Based on fractional calculus, these continuous spacetimes have their dimension changing with the scale; they display discrete ...
Calcagni, Gianluca
core   +1 more source

Productivity‐Driven Optimization of Laser Powder Bed Fusion Parameters for IN718 Superalloy: Process Control, Microstructure, and Mechanical Properties

Advanced Engineering Materials, EarlyView.
This study demonstrates how optimizing laser power, scanning speed, and hatching distance in laser powder bed fusion can boost the productivity of Inconel 718 manufacturing by up to 29% while maintaining mechanical integrity. The work delivers a validated process window and cost–time analysis, offering industry‐ready guidelines for efficient additive ...
Amir Behjat, Guido Barale, John Stavridis, Ehsan Norouzi, Jin‐Yoo Suh, Dong‐Ik Kim, Luca Iuliano, Abdollah Saboori   +7 more
wiley   +1 more source

Corrosion and Process Analysis of a Preoxidized MgO Recyclate‐Based Cermet Anode in Laboratory‐Scale Na‐Cryolite Molten Salt Electrolysis of Aluminum at 1000°C

Advanced Engineering Materials, EarlyView.
EDX elemental map of the pre‐oxidized MgO–steel cermet anode cross section after electrolysis. The development of inert anodes for aluminum electrolysis remains challenging due to the high corrosivity of cryolite‐based melts at 950°C–1000°C. This study investigates the corrosion and process behavior of a carbon‐free MgO–steel cermet anode derived from ...
Alexander Adamczyk, Farhan Hossain, Felipe A. Garcia Paz, Serhii Yaroshevskyi, Felix Drechsler, Daniel Vogt, Christos G. Aneziris, Alexandros Charitos   +7 more
wiley   +1 more source

Analysis of Mild Extremal Solutions in Nonlinear Caputo-Type Fractional Delay Difference Equations

Mathematics
This study investigates extremal solutions for fractional-order delayed difference equations, utilizing the Caputo nabla operator to establish mild lower and upper approximations via discrete fractional calculus. A new approach is employed to demonstrate
Ravi P. Agarwal, Ekaterina Madamlieva
doaj   +1 more source

Existence of Solutions for Boundary Value Problem of a Caputo Fractional Difference Equation

Discrete Dynamics in Nature and Society, 2015
We investigate the existence of solutions for a Caputo fractional difference equation boundary value problem. We use Schauder fixed point theorem to deduce the existence of solutions.
Zhiping Liu, Shugui Kang, Huiqin Chen, Jianmin Guo, Yaqiong Cui, Caixia Guo   +5 more
doaj   +1 more source

Model Checking the Quantitative mu-Calculus on Linear Hybrid Systems

, 2011
We study the model-checking problem for a quantitative extension of the modal mu-calculus on a class of hybrid systems. Qualitative model checking has been proved decidable and implemented for several classes of systems, but this is not the case for ...
Colin Stirling, Diana Fischer, Lukasz Kaiser   +2 more
core   +1 more source

Rafting of Ni‐Based Superalloys Under Multiaxial Load as Understood by Phase‐Field Simulations and Critical Experiments

Advanced Engineering Materials, EarlyView.
Phase‐field simulations coupled with dislocation‐density‐based crystal plasticity modeling reproduce γ′ rafting behavior in single‐crystal Ni‐based superalloys under varied loading conditions. The model captures both macroscopic creep and microscopic morphology evolution, with results matching high‐temperature creep experiments.
Micheal Younan, David Bürger, Gunther Eggeler, Oleg Shchyglo, Ingo Steinbach, Muhammad Adil Ali   +5 more
wiley   +1 more source