Results 51 to 60 of about 237,282 (288)

Approximate solution of inhomogeneous fractional differential equation

Advances in Nonlinear Analysis, 2012
In this paper, we study the stability of a class of inhomogeneous fractional differential equations involving Caputo derivative. The approximate solutions have been studied.
Dutta Biju K., Arora Laxmi K.
doaj   +1 more source

An Operator Method for the Stability of Inhomogeneous Wave Equations [PDF]

Symmetry, 2019
In this paper, we will apply the operator method to prove the generalized Hyers-Ulam stability of the wave equation, u t t ( x , t ) − c 2 ▵ u ( x , t ) = f ( x , t ) , for a class of real-valued functions with continuous second partial derivatives. Finally, we will discuss the stability more explicitly by giving examples.
Ginkyu Choi, Soon-Mo Jung, Jaiok Roh
openaire   +2 more sources

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

Fixed points of inhomogeneous smoothing transforms

, 2011
We consider the inhomogeneous version of the fixed-point equation of the smoothing transformation, that is, the equation $X \stackrel{d}{=} C + \sum_{i \geq 1} T_i X_i$, where $\stackrel{d}{=}$ means equality in distribution, $(C,T_1,T_2,...)$ is a given
Alsmeyer, Gerold, Meiners, Matthias
core   +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

On the Inhomogeneous Conservative Wiener–Hopf Equation

Siberian Mathematical Journal, 2017
The paper deals with the inhomogeneous Wiener-Hopf equation of the form \[ z(x) = \int_{-\infty}^x z(x-y)F(dy) +f(x), \quad x>0. \tag{1} \] In (1), \(z\) is an unknown function, \(F\) is a given distribution and \(f\) is a known function. In this paper, the existence of a solution to (1) is proved in the case where the kernel is a probability ...
openaire   +1 more source

Development of Sustainable MgO–C Refractories Using MgO–C Recyclates and a Novel Eco‐Friendly Fructose–Tannin Binder Crosslinked With Citric Acid

Advanced Engineering Materials, EarlyView.
This study develops sustainable MgO–C refractories using recycled materials and eco‐friendly fructose–tannin binders. The enhanced performance of citric acid as a cross‐linker and functional additives on mechanical and thermomechanical properties was examined. Characterization included strength tests, immersion trials, and microstructural and inclusion
Dinesh K. Gunasekar, Jana Hubálková, Steffen Dudczig, Gert Schmidt, Florian Kerber, Thomas Schemmel, Patrick Gehre, Christos G. Aneziris   +7 more
wiley   +1 more source

Solid‐State Diffusion and Intermetallic Phase Formation in Roll‐Bonded Mg–Zn Composites With Kirigami‐Patterned Inlay

Advanced Engineering Materials, EarlyView.
Mg–Zn composites with a thickness of 0.21 mm were fabricated using roll bonding of a kirigami‐patterned Mg alloy inlay within a Zn matrix. Thermal activation following this process led to the formation of tailored intermetallic structures, which provided the composite with enhanced flexural strength.
Yaroslav Frolov, Oleksandr Bobukh, Christian Klose, Florian Nürnberger, Hans Jürgen Maier   +4 more
wiley   +1 more source

Simple Harmonic Oscillator Equation and Its Hyers-Ulam Stability

Journal of Function Spaces and Applications, 2012
We solve the inhomogeneous simple harmonic oscillator equation and apply this result to obtain a partial solution to the Hyers-Ulam stability problem for the simple harmonic oscillator equation.
Soon-Mo Jung, Byungbae Kim
doaj   +1 more source

Integral equations for simple fluids in a general reference functional approach

, 2004
The integral equations for the correlation functions of an inhomogeneous fluid mixture are derived using a functional Taylor expansion of the free energy around an inhomogeneous equilibrium distribution.
Bruno E, Bryk P, Cuesta J A, Dietrich S, Evans R, Evans R, Evans R, Evans R, Evans R Henderson J R Roth R, Gillespie D, Hansen J-P, Henderson J R, Henderson J R, Johnson J K, Kahl G, Kjellander R, Kroll D M, Lado F, M Oettel, McGough R A, Morita T, Nieminen R, Oettel M, Orlandi A Parola A Reatto L, Parola A, Pastore G, Percus J K, Pini D, Rosenfeld Y, Roth R, Schmidt M, Stell G, Tarazona P, van Swol F   +33 more
core   +1 more source