Functional Numerical Methods: Applications to Abstract Fractional Calculus

• Main Authors: Anastassiou, George A. (Author, http://id.loc.gov/vocabulary/relators/aut), Argyros, Ioannis K. (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2018.
• Edition: 1st ed. 2018.
• Series: Studies in Systems, Decision and Control, 130
• Subjects: Computational intelligence.; Control engineering.; Artificial intelligence.; System theory.; Computational Intelligence.; Control and Systems Theory.; Artificial Intelligence.; Systems Theory, Control.

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...

Table of Contents:

• 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.