Intelligent Numerical Methods II: Applications to Multivariate Fractional Calculus

• Κύριοι συγγραφείς: Anastassiou, George A. (Συγγραφέας), Argyros, Ioannis K. (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2016.
• Σειρά: Studies in Computational Intelligence, 649
• Θέματα: Engineering.; Artificial intelligence.; Computer mathematics.; Computational intelligence.; Complexity, Computational.; Computational Intelligence.; Artificial Intelligence (incl. Robotics).; Computational Science and Engineering.; Complexity.

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...

Πίνακας περιεχομένων:

• 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.