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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 stateoftheart of the various research lines focusing on the study of analytical and numerical mathematical methods for pure and applied sciences.
ultraparabolic equation  ultradiffusion process  probabilistic representation  mathematical finance  linear elastostatics  layer potentials  fredholmian operators  fractional differential equations  fractional derivative  Abeltype integral  time delay  distributed lag  gamma distribution  macroeconomics  Keynesian model  integral transforms  Laplace integral transform  transmutation operator  generating operator  integral equations  differential equations  operational calculus of Mikusinski type  Mellin integral transform  fractional derivative  fractional integral  Mittag–Leffler function  Riemann–Liouville derivative  Caputo derivative  Grünwald–Letnikov derivative  spacetime fractional diffusion equation  fractional Laplacian  subordination principle  MittagLeffler function  Bessel function  exterior calculus  exterior algebra  electromagnetism  Maxwell equations  differential forms  tensor calculus  Fourier Theory  DFT in polar coordinates  polar coordinates  multidimensional DFT  discrete Hankel Transform  discrete Fourier Transform  Orthogonality  multispecies biofilm  biosorption  free boundary value problem  heavy metals toxicity  method of characteristics  relativistic diffusion equation  Caputo fractional derivatives of a function with respect to another function  BesselRiesz motion  Mittag–Leffler function  matrix function  Schur decomposition  Laplace transform  fractional calculus  central limit theorem  anomalous diffusion  stable distribution  fractional calculus  power law  n/a
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This issue is a continuation of the previous successful Special Issue “Mathematical Analysis and Applications”
common fixed point  metriclike space  ?Geraghty contraction  triangular ?admissible mapping  fixed circle  common fixed circle  fixedcircle theorem  extended partial Sbmetric spaces  Sbmetric spaces  fixed point  generalized hypergeometric functions  Gauss and confluent hypergeometric functions  summation theorems of hypergeometric functions  partial symmetric  fixed point  contraction and weak contraction  Nadler’s theorem  linear elastostatics  simple layer potentials  displacement problem  existence and uniqueness theorems  Fredholm alternative  singular data  differential equations  Sheffer polynomial sets  generating functions  monomiality principle  quasi metric space  Suzuki contractions  fixed point theorems  modified ?distance  almost perfect functions  generating function  series transformation  gamma function  Hankel contour  Fermi–Dirac function  Bose–Einstein function  Weyl transform  series representation  Hermite–Hadamard inequalities  (p, q)derivative  (p, q)integral  convex functions  fixed point  Reich contraction  Hardy–Rogers contraction  almost bmetric space  additive (Cauchy) equation  additive mapping  Hyers–Ulam stability  generalized Hyers–Ulam stability  hyperstability  bounded index  bounded Lindex in direction  slice function  entire function  bounded lindex  generalized hypergeometric functions  classical summation theorems  generalization  laplace transforms  gamma and beta functions  SzászMirakjan operators  SzászMirakjan Beta type operators  extended Gamma and Beta functions  confluent hypergeometric function  Modulus of smoothness  modulus of continuity  Lipschitz class  local approximation  Voronovskaja type approximation theorem  operators theory 44A99, 47B99, 47A62  special functions 33C52, 33C65, 33C99, 33B10, 33B15  Stirling numbers and Touchard polynomials 11B73  n/a
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