Functional Numerical Methods: Applications to Abstract Fractional Calculus

This book presents applications of Newton-like and other similar methods to solve abstract functional equations involving fractional derivatives. It focuses on Banach space-valued functions of a real domain - studied for the first time in the literature. Various issues related to the modeling and an...

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Hlavní autor: Anastassiou, George A. (Autor)
Médium: Elektronický zdroj E-kniha
Jazyk:angličtina
Vydáno: Cham : Springer International Publishing, 2018.
Vydání:1st ed. 2018.
Edice:Studies in Systems, Decision and Control, 130
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ISBN:9783319695266
ISSN:2198-4182 ;
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245 1 0 |a Functional Numerical Methods: Applications to Abstract Fractional Calculus  |h [electronic resource] /  |c by George A. Anastassiou, Ioannis K. Argyros. 
250 |a 1st ed. 2018. 
260 1 |a Cham :  |b Springer International Publishing,  |c 2018. 
300 |a X, 161 p.  |b online resource. 
490 1 |a Studies in Systems, Decision and Control,  |x 2198-4182 ;  |v 130 
500 |a Engineering  
505 0 |a Explicit-Implicit methods with applications to Banach space valued functions in abstract fractional calculus -- Convergence of Iterative methods in abstract fractional calculus -- Equations for Banach space valued functions in fractional vector calculi -- Iterative methods in abstract fractional calculus -- Semi-local convergence in right abstract fractional calculus -- Algorithmic convergence in abstract g-fractional calculus -- Iterative procedures for solving equations in abstract fractional calculus -- Approximate solutions of equations in abstract g-fractional calculus -- Generating sequences for solving in abstract g-fractional calculus -- Numerical Optimization and fractional invexity. 
516 |a text file PDF 
520 |a This book presents applications of Newton-like and other similar methods to solve abstract functional equations involving fractional derivatives. It focuses on Banach space-valued functions of a real domain - studied for the first time in the literature. Various issues related to the modeling and analysis of fractional order systems continue to grow in popularity, and the book provides a deeper and more formal analysis of selected issues that are relevant to many areas - including decision-making, complex processes, systems modeling and control - and deeply embedded in the fields of engineering, computer science, physics, economics, and the social and life sciences. The book offers a valuable resource for researchers and graduate students, and can also be used as a textbook for seminars on the above-mentioned subjects. All chapters are self-contained and can be read independently. Further, each chapter includes an extensive list of references. 
650 0 |a Computational intelligence. 
650 0 |a Control engineering. 
650 0 |a Artificial intelligence. 
650 0 |a System theory. 
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