Intelligent Numerical Methods II: Applications to Multivariate Fractional Calculus

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...

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Bibliographic Details
Main Authors: Anastassiou, George A. (Author), Argyros, Ioannis K. (Author)
Corporate Author: SpringerLink (Online service)
Format: e-Book
Language:English
Published: Cham : Springer International Publishing : Imprint: Springer, 2016.
Edition:1st ed. 2016.
Series:Studies in Computational Intelligence, 649
Subjects:
Computational intelligence.
Artificial intelligence.
Mathematics > Data processing.
Dynamics.
Nonlinear theories.
Computational Intelligence.
Artificial Intelligence.
Computational Science and Engineering.
Applied Dynamical Systems.
Online Access:Full-text access
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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.

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