Functional Numerical Methods: Applications to Abstract Fractional Calculus

Nonfiction, Science & Nature, Technology, Automation, Computers, Advanced Computing, Artificial Intelligence, General Computing
Cover of the book Functional Numerical Methods: Applications to Abstract Fractional Calculus by Ioannis K. Argyros, George A. Anastassiou, Springer International Publishing
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Author: Ioannis K. Argyros, George A. Anastassiou ISBN: 9783319695266
Publisher: Springer International Publishing Publication: October 27, 2017
Imprint: Springer Language: English
Author: Ioannis K. Argyros, George A. Anastassiou
ISBN: 9783319695266
Publisher: Springer International Publishing
Publication: October 27, 2017
Imprint: Springer
Language: English

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.

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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.

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