TY - BOOK AU - Anastassiou,George A. AU - Argyros,Ioannis K. ED - SpringerLink (Online service) TI - Functional Numerical Methods: Applications to Abstract Fractional Calculus T2 - Studies in Systems, Decision and Control, SN - 9783319695266 AV - Q342 U1 - 006.3 23 PY - 2018/// CY - Cham PB - Springer International Publishing, Imprint: Springer KW - Computational intelligence KW - Control engineering KW - Artificial intelligence KW - System theory KW - Computational Intelligence KW - Control and Systems Theory KW - Artificial Intelligence KW - Systems Theory, Control N1 - Acceso multiusuario; 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 N2 - 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 UR - http://148.231.10.114:2048/login?url=https://doi.org/10.1007/978-3-319-69526-6 ER -