Intelligent Numerical Methods: Applications to Fractional Calculus

AvGeorge A. Anastassiou,Ioannis K. Argyros

Inbunden, Engelska, 2015

Del i serien Studies in Computational Intelligence

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Beskrivning

In this monograph the authors present Newton-type, Newton-like and other numerical methods, which involve fractional derivatives and fractional integral operators, for the first time studied in the literature.

Produktinformation

Utgivningsdatum:2015-12-15
Mått:155 x 235 x 30 mm
Vikt:822 g
Format:Inbunden
Språk:Engelska
Serie:Studies in Computational Intelligence
Antal sidor:423
Upplaga:15001
Förlag:Springer International Publishing AG
ISBN:9783319267203

Utforska kategorier

Innehållsförteckning

Newton-Like Methods on Generalized Banach Spaces andFractional Calculus.- Semilocal Convegence of Newton-Like Methods and Fractional Calculus.- Convergence of Iterative Methods and Generalized Fractional Calculus.- Fixed Point Techniques And Generalized Right Fractional Calculus.- Approximating Fixed Points And K-Fractional Calculus.- Iterative Methods And Generalized G-Fractional Calculus.- Unified Convergence Analysis For IterativeAlgorithms And Fractional Calculus.- Convergence Analysis For Extended Iterative AlgorithmsAnd Fractional And Vector Calculus.- Convergence Analysis For Extended IterativeAlgorithms And Fractional Calculus.- Secant-Like Methods And Fractional Calculus.- Secant-Like Methods And Modified G- Fractional Calculus.- Secant-Like Algorithms And Generalized Fractional Calculus.- Secant-Like Methods And Generalized G-Fractional Calculus Of Canavati-Type.- Iterative Algorithms And Left-Right Caputo Fractional Derivatives.- Iterative Methods On Banach Spaces With AConvergence Structure And Fractional Calculus.- Inexact Gauss-Newton Method For Singular Equations.- The Asymptotic Mesh Independence Principle.- Ball Convergence Of A Sixth Order Iterative Method.- Broyden’s Method With Regularily Continuous Divided Differences.- Left General Fractional Monotone Approximation.- Right General Fractional Monotone Approximation Theor.- Left Generalized High Order Fractional Monotone Approximation.- Right Generalized High Order Fractional Monotone Approximation.- Advanced Fractional Taylor’s Formulae.- Generalized Canavati Type Fractional Taylor’s Formulae.

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