Results 41 to 50 of about 79,186 (232)

Solutions of linear multi-dimensional fractional order Volterra integral equations [PDF]

open access: yes, 2016
In this paper, the aim studying this topic is to extend the study of the one-dimensional fractional to the multi-dimensional fractional integral equations and their applications.
Ahmood, Wasan Ajeel, Kilicman, Adem
core  

Wetting Interactions Between Porous Carbon Hosts and Liquid Sodium‐Potassium Alloys Toward Their Use in Negative Electrodes of Alkali‐Metal Batteries

open access: yesAdvanced Functional Materials, EarlyView.
Porous carbon host materials are investigated for their possible usage in liquid alkali‐metal negative electrodes. X‐ray computed tomography reveals pore‐filling behavior under various conditions: non‐wetting, forced wetting, and spontaneous wetting. The applicability of porous carbon in electrochemical cells is demonstrated at high areal capacities ...
Johannes Baller   +10 more
wiley   +1 more source

Analysis of Deflection in Visco-Thermoelastic Beam Resonators Subjected to Harmonic Loading

open access: yesInternational Journal of Applied Mechanics and Engineering, 2022
This paper analyses the transverse deflection in a homogeneous, isotropic, visco-thermoelastic beam when subjected to harmonic load. The ends of the beam are considered at different boundary conditions (both axial ends clamped, both axial ends simply ...
Deepti Chopra, Prince Singh
doaj   +1 more source

Toward Zero‐Excess Alkali Metal Batteries: Bridging Experimental and Computational Insights

open access: yesAdvanced Materials, EarlyView.
This review explores zero‐excess alkali metal batteries, highlighting anode–electrolyte interfaces, metal nucleation, dendrite growth, and SEI formation while comparing Li, Na, and K metals. It critically examines electrolyte and separator roles, emphasizing substrate design, electrolyte modifications, interfacial engineering, and solid‐state ...
Pan He   +6 more
wiley   +1 more source

Solution of Differential Equations with Polynomial Coefficients with the Aid of an Analytic Continuation of Laplace Transform

open access: yesMathematics, 2016
In a series of papers, we discussed the solution of Laplace’s differential equation (DE) by using fractional calculus, operational calculus in the framework of distribution theory, and Laplace transform.
Tohru Morita, Ken-ichi Sato
doaj   +1 more source

Uniqueness for inverse problems of determining orders of multi-term time-fractional derivatives of diffusion equation

open access: yes, 2014
This article proves the uniqueness for two kinds of inverse problems of identifying fractional orders in diffusion equations with multiple time-fractional derivatives by pointwise observation. By means of eigenfunction expansion and Laplace transform, we
Li, Zhiyuan, Yamamoto, Masahiro
core   +1 more source

Nearest Neighbor Density Functional Estimation From Inverse Laplace Transform [PDF]

open access: green, 2022
Jongha Ryu   +4 more
openalex   +1 more source

Transient Charging of Mixed Ionic‐Electronic Conductors by Anomalous Diffusion

open access: yesAdvanced Materials, EarlyView.
This article explores charge transport in mixed ionic‐electronic conductors (MIECs) through electrochemical impedance spectroscopy and transient current analysis. Focusing on PEDOT:PSS, WO3, and n‐doped PBDF, it uncovers the impact of anomalous diffusion via fractional modeling. The study reveals key correlations that deepen understanding and guide the
Heyi Zhang   +9 more
wiley   +1 more source

Quadrature Integration Techniques for Random Hyperbolic PDE Problems

open access: yesMathematics, 2021
In this paper, we consider random hyperbolic partial differential equation (PDE) problems following the mean square approach and Laplace transform technique. Randomness requires not only the computation of the approximating stochastic processes, but also
Rafael Company   +2 more
doaj   +1 more source

Recent Advances in Reactive Microdroplets for Clean Water and Energy

open access: yesAdvanced Materials, EarlyView.
Reactive microdroplets enable precise and sustainable chemistry at small scales. This review explores their role as confined reactors and dynamic interfaces for synthesizing functional materials, fuels, and microdevices. It offers a critical perspective on how droplet‐based platforms can drive next‐generation technologies in clean energy, environmental
Qiuyun Lu   +4 more
wiley   +1 more source

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