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Intelligent numerical methods IIappl...

Anastassiou, George A.

Intelligent numerical methods IIapplications to multivariate fractional Calculus /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Intelligent numerical methods IIby George A. Anastassiou, Ioannis K. Argyros.
Reminder of title:	applications to multivariate fractional Calculus /
Author:	Anastassiou, George A.
other author:	Argyros, Ioannis K.
Published:	Cham :Springer International Publishing :2016.
Description:	xii, 116 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Multivariate analysis.
Online resource:	http://dx.doi.org/10.1007/978-3-319-33606-0
ISBN:	9783319336060$q(electronic bk.)

Intelligent numerical methods IIapplications to multivariate fractional Calculus /
Anastassiou, George A.

Intelligent numerical methods IIapplications to multivariate fractional Calculus /[electronic resource] :by George A. Anastassiou, Ioannis K. Argyros. - Cham :Springer International Publishing :2016. - xii, 116 p. :ill., digital ;24 cm. - Studies in computational intelligence,v.6491860-949X ;. - Studies in computational intelligence ;v. 216..

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.

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.

ISBN: 9783319336060$q(electronic bk.)

Standard No.: 10.1007/978-3-319-33606-0doiSubjects--Topical Terms:

181905
Multivariate analysis.

LC Class. No.: QA278

Dewey Class. No.: 519.535

Intelligent numerical methods IIapplications to multivariate fractional Calculus /
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245 1 0 $a Intelligent numerical methods II $h [electronic resource] : $b applications to multivariate fractional Calculus / $c by George A. Anastassiou, Ioannis K. Argyros.
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490 1 $a Studies in computational intelligence, $x 1860-949X ; $v v.649
505 0 $a 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.
520 $a 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.
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