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Advanced Mathematical Methods

Advanced Mathematical Methods

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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 Special Issue was to establish a brief collection of carefully selected articles authored by promising young scientists and the world's leading experts in pure and applied mathematics, highlighting the state-of-the-art of the various research lines focusing on the study of analytical and numerical mathematical methods for pure and applied sciences.

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Keywords

  • Abel-type integral
  • anomalous diffusion
  • Bessel function
  • Bessel-Riesz motion
  • biosorption
  • Caputo derivative
  • Caputo fractional derivatives of a function with respect to another function
  • central limit theorem
  • DFT in polar coordinates
  • Differential equations
  • differential forms
  • discrete Fourier Transform
  • discrete Hankel Transform
  • distributed lag
  • Electromagnetism
  • exterior algebra
  • exterior calculus
  • Fourier Theory
  • Fractional calculus
  • fractional derivative
  • fractional differential equations
  • fractional integral
  • fractional Laplacian
  • fredholmian operators
  • free boundary value problem
  • gamma distribution
  • generating operator
  • Grünwald–Letnikov derivative
  • heavy metals toxicity
  • Integral equations
  • Integral transforms
  • Keynesian model
  • Laplace integral transform
  • Laplace transform
  • layer potentials
  • linear elastostatics
  • Macroeconomics
  • Mathematical Finance
  • matrix function
  • Maxwell equations
  • Mellin integral transform
  • method of characteristics
  • Mittag-Leffler function
  • Mittag–Leffler function
  • multidimensional DFT
  • multispecies biofilm
  • n/a
  • operational calculus of Mikusinski type
  • orthogonality
  • polar coordinates
  • power law
  • probabilistic representation
  • relativistic diffusion equation
  • Riemann–Liouville derivative
  • Schur decomposition
  • space-time fractional diffusion equation
  • stable distribution
  • subordination principle
  • tensor calculus
  • time delay
  • transmutation operator
  • ultradiffusion process
  • ultraparabolic equation

Links

DOI: 10.3390/books978-3-03928-247-0

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