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...

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Main Author: Anastassiou, George A., 1952-
Other Authors: Argyros, Ioannis K.,, SpringerLink (Online service)
Format: eBook
Language: English
Published: Cham, Switzerland : Springer, [2018]
Physical Description: 1 online resource.
Series: Studies in systems, decision and control . 130.
Subjects:
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100 1 |a Anastassiou, George A.,  |d 1952-  |1 https://id.oclc.org/worldcat/entity/E39PBJv8DKDY8FDKq7y8vGWqwC,  |e author. 
245 1 0 |a Functional numerical methods :  |b applications to abstract fractional calculus /  |c George A. Anastassiou, Ioannis K. Argyros. 
264 1 |a Cham, Switzerland :  |b Springer,  |c [2018] 
264 4 |c ©2018. 
300 |a 1 online resource. 
336 |a text  |b txt  |2 rdacontent. 
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490 1 |a Studies in systems, decision and control ;  |v volume 130. 
588 0 |a Online resource; title from PDF title page (EBSCO, viewed November 3, 2017). 
504 |a Includes bibliographical references. 
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."--  |c Provided by publisher. 
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. 
650 0 |a Fractional calculus. 
650 0 |a Numerical analysis. 
650 0 |a Functional analysis. 
650 6 |a Dérivées fractionnaires. 
650 6 |a Analyse numérique. 
650 6 |a Analyse fonctionnelle. 
650 7 |a Automatic control engineering.  |2 bicssc. 
650 7 |a Artificial intelligence.  |2 bicssc. 
650 7 |a Cybernetics & systems theory.  |2 bicssc. 
650 7 |a MATHEMATICS  |x Calculus.  |2 bisacsh. 
650 7 |a MATHEMATICS  |x Mathematical Analysis.  |2 bisacsh. 
650 7 |a Fractional calculus.  |2 fast. 
650 7 |a Functional analysis.  |2 fast. 
650 7 |a Numerical analysis.  |2 fast. 
700 1 |a Argyros, Ioannis K.,  |e author. 
710 2 |a SpringerLink (Online service) 
776 0 8 |i Printed edition:  |z 9783319695259. 
830 0 |a Studies in systems, decision and control  |v . 130. 
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