Functional Numerical Methods: Applications to Abstract Fractional Calculus / / by George A. Anastassiou, Ioannis K. Argyros

• Autore: Anastassiou George A
• Pubblicazione: Cham : , : Springer International Publishing : , : Imprint : Springer, , 2018
• Edizione: 1st ed. 2018.
• Descrizione fisica: 1 online resource (X, 161 p.)
• Disciplina: 515.83
• Soggetto topico: Computational intelligence; Automatic control; Artificial intelligence; System theory; Computational Intelligence; Control and Systems Theory; Artificial Intelligence; Systems Theory, Control
• Persona (resp. second.): ArgyrosIoannis K
• Nota di bibliografia: Includes bibliographical references at the end of each chapters.
• Nota di contenuto: 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.
• Sommario/riassunto: 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.
• Titolo autorizzato: Functional Numerical Methods: Applications to Abstract Fractional Calculus
• ISBN: 3-319-69526-6
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910299870403321
• Lo trovi qui: Univ. Federico II
• Serie: Studies in Systems, Decision and Control, . 2198-4182 ; ; 130