Advanced Mathematical Methods: Theory and Applications

• Main Authors: Giusti, Andrea, Mainardi, Francesco
• Format: eBook
• Language: English
• Published: MDPI - Multidisciplinary Digital Publishing Institute 2020
• Subjects: Abel-type integral; anomalous diffusion; Bessel function; Bessel-Riesz motion; biosorption; Book Industry Communication; 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; multidimensional DFT; multispecies biofilm; n/a; operational calculus of Mikusinski type; Orthogonality; polar coordinates; power law; probabilistic representation; Q1-390; QC1-999; Reference, information & interdisciplinary subjects; relativistic diffusion equation; Research & information: general; Riemann–Liouville derivative; Schur decomposition; space-time fractional diffusion equation; stable distribution; subordination principle; tensor calculus; time delay; transmutation operator; ultradiffusion process; ultraparabolic equation
• ISBN: 9783039282463; 3039282468; 9783039282470; 3039282476
• DOI: 10.3390/books978-3-03928-247-0

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.