Advanced Mathematical Methods: Theory and Applications

• Main Author: Giusti, Andrea (auth)
• Other Authors: Mainardi, Francesco (auth)
• Format: Electronic Book Chapter
• Language: English
• 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
• Online Access: DOAB: download the publication; DOAB: description of the publication

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.