Results 51 to 60 of about 317,311 (293)

Geometrical enhancement of the electric field: Application of fractional calculus in nanoplasmonics

open access: yes, 2011
We developed an analytical approach, for a wave propagation in metal-dielectric nanostructures in the quasi-static limit. This consideration establishes a link between fractional geometry of the nanostructure and fractional integro-differentiation.
Baskin, E., Iomin, A.
core   +1 more source

On generalized local fractal calculus associate with gauge integral and applications

open access: yesThermal Science
In this work, a new integral so called +F?-integral with respect to local fractal derivatives are introduced. Several properties of +F?-integrals are discussed. Fundamental theorem for +F?-integrable functions is also introduced.
H. Kalita   +2 more
semanticscholar   +1 more source

High Energy Density Asymmetric Aqueous Supercapacitor Based on a 2D Manganese Carbide as a Positive Electrode

open access: yesAdvanced Functional Materials, EarlyView.
A circular route, involving upcycling of waste surgical masks, affords a Mn‐based layered carbide with porosity, redox activity and low work function. These features enable its effective operation as positive supercapacitor electrode in an aqueous asymmetric supercapacitor delivering 213 Wh L−1 energy density.
Debabrata Nandi   +7 more
wiley   +1 more source

Pressure transient analysis for multi-wing fractured vertical well in coalbed methane reservoir based on fractal geometry and fractional calculus

open access: yesEnergy Exploration & Exploitation, 2022
In this paper, a semi-analytical mathematical model of pressure transient analysis (PTA) for multi-wing fractured vertical well (MWFV) in coalbed methane (CBM) reservoir is proposed, which considers the complexity of porous media by fractal geometry, the
Haoyuan Li   +7 more
doaj   +1 more source

Introduction to multifractional spacetimes

open access: yes, 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

Mapping Nanoscale Protein‐Corona Kinetics of DoE‐Optimized Perfluorocarbon Encapsulated‐PLGA Nanoparticles by In Situ, Time‐Resolved Synchrotron SAXS

open access: yesAdvanced Healthcare Materials, EarlyView.
A two‐phase workflow (OFAT screening followed by central composite design) maps how processing variables tune PFCE‐PLGA nanoparticle size, dispersity, surface charge, loading, and 19F‐MRI signal. In situ, time‐resolved synchrotron SAXS tracks albumin‐corona growth on intact dispersions and reveals PFCE‐dependent adsorption pathways.
Joice Maria Joseph   +11 more
wiley   +1 more source

Water Permeates and Plasticizes Amorphous Carbon Dots: Unraveling the Inner Accessibility of the Nanoparticles by Glass Transition Studies

open access: yesAdvanced Materials, EarlyView.
The water permeability of amorphous carbon dots (CDs) is demonstrated by investigating their plasticization. Novel polyamide‐based and amorphous nanoparticles are synthesized by controlling their inner packing density. Water plasticization is evidenced by the decrease of the CDs glass transition temperature with increasing the hydration degree.
Elisa Sturabotti   +8 more
wiley   +1 more source

A Mechanical Picture of Fractal Darcy’s Law

open access: yesFractal and Fractional, 2023
The main goal of this manuscript is to generalize Darcy’s law from conventional calculus to fractal calculus in order to quantify the fluid flow in subterranean heterogeneous reservoirs.
Lucero Damián Adame   +4 more
doaj   +1 more source

Roadmap to Precision 3D Printing of Cellulose: Rheology‐Guided Formulation, Fidelity Assessment, and Application Horizons

open access: yesAdvanced Materials Technologies, EarlyView.
This critical review presents a comprehensive roadmap for the precision 3D printing of cellulose. Quantitative correlations link ink formulation and rheological properties to print fidelity and final material performance. This framework guides the development of advanced functional materials, from biomedical scaffolds to electromagnetic shielding ...
Majed Amini   +3 more
wiley   +1 more source

A fractal-fractional gingerbread-man map generalized by p−fractal-fractional difference operator

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы
By using the generalization of the gamma function (p−gamma function: Γp(.)), we introduce a generalization of the fractal-fractional calculus which is called p−fractal-fractional calculus. Examples are illustrated including the basic power functions. As
R.W. Ibrahim, S. Momani
doaj   +1 more source

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