Intelligent Numerical Methods II: Applications to Multivariate Fractional Calculus

by George A. Anastassiou, Ioannis K. Argyros

Overview

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, shastics, 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.

Product Details

ISBN-13:	9783319815589
Publisher:	Springer International Publishing
Publication date:	05/31/2018
Series:	Studies in Computational Intelligence , #649
Edition description:	Softcover reprint of the original 1st ed. 2016
Pages:	116
Product dimensions:	6.10(w) x 9.25(h) x (d)

Table of Contents

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.