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Anastassiou G.A., Argyros I.K. Functional Numerical Methods: Applications to Abstract Fractional Calculus

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Anastassiou G.A., Argyros I.K. Functional Numerical Methods: Applications to Abstract Fractional Calculus
Springer International Publishing AG, 2018. — 190 p. — (Studies in Systems, Decision and Control 130) — ISBN 3319695258.
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.
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 Approximate Solutions of Equations in Abstract g-Fractional Calculus
Generating Sequences for Solving in Abstract g-Fractional Calculus
Numerical Optimization and Fractional Invexity
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