Functional Numerical Methods: Applications to Abstract Fractional Calculus
Nonfiction, Science & Nature, Technology, Automation, Computers, Advanced Computing, Artificial Intelligence, General Computing
| 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.
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.
