Intelligent Numerical Methods II: Applications to Multivariate Fractional Calculus

In this short monograph Newton-likeand other similar numerical methods with applications to solving multivariateequations are developed, which involve Caputotype fractional mixed partial derivatives and multivariate fractional Riemann-Liouvilleintegral operators. These are studied for the first time in the literature. Thechapters are self-contained and can be read independently. An extensive list ofreferences is given per chapter. The book's results are expected to findapplications in many areas of applied mathematics, stochastics, computerscience and engineering. As such this short monograph is suitable forresearchers, graduate students, to be used in graduate classes and seminars ofthe above subjects, also to be in all science and engineering libraries.

List 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.

Summary

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.

Product details

• Authors: George Anastassiou, George A Anastassiou, George A. Anastassiou, Ioannis K Argyros, Ioannis K. Argyros
• Publisher: Springer, Berlin
• Languages: English
• Product format: Paperback / Softback
• Released: 01.01.2018
• EAN: 9783319815589
• ISBN: 978-3-31-981558-9
• No. of pages: 116
• Dimensions: 155 mm x 7 mm x 235 mm
• Weight: 207 g
• Illustrations: XII, 116 p.
• Series: Studies in Computational Intelligence; Studies in Computational Intelligence
• Subjects: Natural sciences, medicine, IT, technology > Technology > General, dictionaries; B, Artificial Intelligence, engineering, complexity, Computer mathematics, Computational Science and Engineering, Computational Intelligence, Maths for scientists, Maths for engineers, Cybernetics & systems theory, Applied Dynamical Systems, Computational complexity, Cybernetics and systems theory