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Über dieses Buch

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.

Inhaltsverzeichnis

Frontmatter

2018 | OriginalPaper | Buchkapitel

Chapter 1. Explicit-Implicit Methods with Applications to Banach Space Valued Functions in Abstract Fractional Calculus

George A. Anastassiou, Ioannis K. Argyros

2018 | OriginalPaper | Buchkapitel

Chapter 2. Convergence of Iterative Methods in Abstract Fractional Calculus

George A. Anastassiou, Ioannis K. Argyros

2018 | OriginalPaper | Buchkapitel

Chapter 3. Equations for Banach Space Valued Functions in Fractional Vector Calculi

George A. Anastassiou, Ioannis K. Argyros

2018 | OriginalPaper | Buchkapitel

Chapter 4. Iterative Methods in Abstract Fractional Calculus

George A. Anastassiou, Ioannis K. Argyros

2018 | OriginalPaper | Buchkapitel

Chapter 5. Semi-local Convergence in Right Abstract Fractional Calculus

George A. Anastassiou, Ioannis K. Argyros

2018 | OriginalPaper | Buchkapitel

Chapter 6. Algorithmic Convergence in Abstract g-Fractional Calculus

George A. Anastassiou, Ioannis K. Argyros

2018 | OriginalPaper | Buchkapitel

Chapter 7. Iterative Procedures for Solving Equations in Abstract Fractional Calculus

George A. Anastassiou, Ioannis K. Argyros

2018 | OriginalPaper | Buchkapitel

Chapter 8. Approximate Solutions of Equations in Abstract g-Fractional Calculus

George A. Anastassiou, Ioannis K. Argyros

2018 | OriginalPaper | Buchkapitel

Chapter 9. Generating Sequences for Solving in Abstract g-Fractional Calculus

George A. Anastassiou, Ioannis K. Argyros

2018 | OriginalPaper | Buchkapitel

Chapter 10. Numerical Optimization and Fractional Invexity

George A. Anastassiou, Ioannis K. Argyros
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