Functional Numerical Methods: Applications to Abstract Fractional Calculus

This book presents applications of Newton-like and other similar methods to solve abstract functional equations involving fractional derivatives. It focuses on Banach space-valued functions of a real domain - studied for the first time in the literature. Various issues related to the modeling and an...

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Hlavní autor: Anastassiou, George A. (Autor)
Médium: Elektronický zdroj E-kniha
Jazyk:angličtina
Vydáno: Cham : Springer International Publishing, 2018.
Vydání:1st ed. 2018.
Edice:Studies in Systems, Decision and Control, 130
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ISBN:9783319695266
ISSN:2198-4182 ;
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Obsah:
  • Explicit-Implicit methods with applications to Banach space valued functions in abstract fractional calculus
  • Convergence of Iterative methods in abstract fractional calculus
  • Equations for Banach space valued functions in fractional vector calculi
  • Iterative methods in abstract fractional calculus
  • Semi-local convergence in right abstract fractional calculus
  • Algorithmic convergence in abstract g-fractional calculus
  • Iterative procedures for solving equations in abstract fractional calculus
  • Approximate solutions of equations in abstract g-fractional calculus
  • Generating sequences for solving in abstract g-fractional calculus
  • Numerical Optimization and fractional invexity.