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Intelligent Numerical Methods II: Applications to Multivariate Fractional Calculus

Gebonden Engels 2016 9783319336053
Verwachte levertijd ongeveer 9 werkdagen

Samenvatting

In this short monograph Newton-like
and other similar numerical methods with applications to solving multivariate
equations are developed, which involve Caputo
type fractional mixed partial derivatives and multivariate fractional Riemann-Liouville
integral operators. These are studied for the first time in the literature. The
chapters are self-contained and can be read independently. An extensive list of
references is given per chapter. The book’s results are expected to find
applications in many areas of applied mathematics, stochastics, computer
science and engineering. As such this short monograph is suitable for
researchers, graduate students, to be used in graduate classes and seminars of
the above subjects, also to be in all science and engineering libraries.

Specificaties

ISBN13:9783319336053
Taal:Engels
Bindwijze:gebonden
Uitgever:Springer International Publishing

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Inhoudsopgave

Fixed Point Results and Applications in Left Multivariate Fractional Calculus.- Fixed Point Results and Applications in Right Multivariate Fractional Calculus.- Semi-local Iterative Procedures and Applications In K-Multivariate Fractional Calculus.- Newton-like Procedures and Applications in Multivariate Fractional Calculus.- Implicit Iterative Algorithms and Applications in Multivariate Calculus.- Monotone Iterative Schemes and Applications in Fractional Calculus.- Extending the Convergence Domain of Newton’s Method.- The Left Multidimensional Riemann-Liouville Fractional Integral.- The Right Multidimensional Riemann-Liouville Fractional Integral.<p></p>

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        Intelligent Numerical Methods II: Applications to Multivariate Fractional Calculus