Functional Numerical Methods: Applications to Abstract Fractional Calculus

George A. Anastassiou, Ioannis K. Argyros (Autoren)

Buch | Hardcover

X, 161 Seiten

2017 | 1st ed. 2018
Springer International Publishing (Verlag)
978-3-319-69525-9 (ISBN)

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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.

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.

Erscheinungsdatum	14.11.2017
Reihe/Serie	Studies in Systems, Decision and Control
Zusatzinfo	X, 161 p.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	426 g
Themenwelt	Informatik ► Theorie / Studium ► Künstliche Intelligenz / Robotik
Themenwelt	Technik ► Elektrotechnik / Energietechnik
Schlagworte	Abstract Fractional Calculus • Banach space • Fractional Calculus • Fractional Numerical Methods • G-fractional Calculus
ISBN-10	3-319-69525-8 / 3319695258
ISBN-13	978-3-319-69525-9 / 9783319695259
Zustand	Neuware