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Fractional Calculus and the Future of Science

Newton foresaw the limitations of geometry’s description of planetary behavior and developed fluxions (differentials) as the new language for celestial mechanics and as the way to implement his laws of mechanics. Two hundred years later Mandelbrot introduced the notion of fractals into the scientif...

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Format: Online
Sprog:engelsk
Udgivet: MDPI - Multidisciplinary Digital Publishing Institute 2022
Fag:
fractional diffusion
continuous time random walks
reaction–diffusion equations
reaction kinetics
multidimensional scaling
fractals
fractional calculus
financial indices
entropy
Dow Jones
complex systems
Skellam process
subordination
Lévy measure
Poisson process of order k
running average
complexity
chaos
logistic differential equation
liouville-caputo fractional derivative
local discontinuous Galerkin methods
stability estimate
Mittag-Leffler functions
Wright functions
fractional relaxation
diffusion-wave equation
Laplace and Fourier transform
fractional Poisson process complex systems
distributed-order operators
viscoelasticity
transport processes
control theory
fractional order PID control
PMSM
frequency-domain control design
optimal tuning
Gaussian watermarks
statistical assessment
false positive rate
semi-fragile watermarking system
fractional dynamics
fractional-order thinking
heavytailedness
big data
machine learning
variability
diversity
telegrapher’s equations
fractional telegrapher’s equation
continuous time random walk
transport problems
fractional conservations laws
variable fractional model
turbulent flows
fractional PINN
physics-informed learning
n/a
thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general
thema EDItEUR::P Mathematics and Science
Online adgang:ONIX_20220506_9783036528267_75
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