Advanced Mathematical Methods: Theory and Applications

Advanced Mathematical Methods: Theory and Applications

The many technical and computational problems that appear to be constantly emerging in various branches of physics and engineering beg for a more detailed understanding of the fundamental mathematics that serves as the cornerstone of our way of understanding natural phenomena. The purpose of this Sp...

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Bibliographic Details
Main Author: Giusti, Andrea (auth)
Other Authors: Mainardi, Francesco (auth)
Format: Book Chapter
Published: MDPI - Multidisciplinary Digital Publishing Institute 2020
Subjects:
Bessel function
n/a
Grünwald-Letnikov derivative
tensor calculus
biosorption
differential equations
Caputo fractional derivatives of a function with respect to another function
gamma distribution
Mittag-Leffler function
fractional Laplacian
heavy metals toxicity
discrete Fourier Transform
anomalous diffusion
ultraparabolic equation
layer potentials
exterior algebra
Laplace transform
Riemann-Liouville derivative
integral transforms
fredholmian operators
time delay
Orthogonality
multispecies biofilm
macroeconomics
central limit theorem
DFT in polar coordinates
Bessel-Riesz motion
Schur decomposition
generating operator
Fourier Theory
multidimensional DFT
fractional calculus
Mellin integral transform
electromagnetism
fractional differential equations
relativistic diffusion equation
distributed lag
space-time fractional diffusion equation
Maxwell equations
power law
discrete Hankel Transform
matrix function
polar coordinates
exterior calculus
method of characteristics
stable distribution
mathematical finance
linear elastostatics
ultradiffusion process
probabilistic representation
Keynesian model
subordination principle
Laplace integral transform
fractional derivative
differential forms
fractional integral
integral equations
transmutation operator
operational calculus of Mikusinski type
Caputo derivative
Abel-type integral
free boundary value problem
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