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

Por: Anastassiou, George A [author.]Colaborador(es): Argyros, Ioannis K [author.] | SpringerLink (Online service)Tipo de material: TextoTextoSeries Studies in Systems, Decision and Control ; 130Editor: Cham : Springer International Publishing : Imprint: Springer, 2018Edición: 1st ed. 2018Descripción: X, 161 p. online resourceTipo de contenido: text Tipo de medio: computer Tipo de portador: online resourceISBN: 9783319695266Tema(s): Computational intelligence | Control engineering | Artificial intelligence | System theory | Computational Intelligence | Control and Systems Theory | Artificial Intelligence | Systems Theory, ControlFormatos físicos adicionales: Printed edition:: Sin título; Printed edition:: Sin título; Printed edition:: Sin títuloClasificación CDD: 006.3 Clasificación LoC:Q342Recursos en línea: Libro electrónicoTexto
Contenidos:
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.
En: Springer Nature eBookResumen: 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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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.

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.

UABC ; Temporal ; 01/01/2021-12/31/2023.

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