04188nam 22006375 450 991029987040332120200630205726.03-319-69526-610.1007/978-3-319-69526-6(CKB)4100000000881557(DE-He213)978-3-319-69526-6(MiAaPQ)EBC5115886(PPN)220126909(EXLCZ)99410000000088155720171028d2018 u| 0engurnn|008mamaatxtrdacontentcrdamediacrrdacarrierFunctional Numerical Methods: Applications to Abstract Fractional Calculus /by George A. Anastassiou, Ioannis K. Argyros1st ed. 2018.Cham :Springer International Publishing :Imprint: Springer,2018.1 online resource (X, 161 p.) Studies in Systems, Decision and Control,2198-4182 ;1303-319-69525-8 Includes bibliographical references at the end of each chapters.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.Studies in Systems, Decision and Control,2198-4182 ;130Computational intelligenceControl engineeringArtificial intelligenceSystem theoryComputational Intelligencehttps://scigraph.springernature.com/ontologies/product-market-codes/T11014Control and Systems Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/T19010Artificial Intelligencehttps://scigraph.springernature.com/ontologies/product-market-codes/I21000Systems Theory, Controlhttps://scigraph.springernature.com/ontologies/product-market-codes/M13070Computational intelligence.Control engineering.Artificial intelligence.System theory.Computational Intelligence.Control and Systems Theory.Artificial Intelligence.Systems Theory, Control.515.83Anastassiou George Aauthttp://id.loc.gov/vocabulary/relators/aut60024Argyros Ioannis Kauthttp://id.loc.gov/vocabulary/relators/autMiAaPQMiAaPQMiAaPQBOOK9910299870403321Functional Numerical Methods: Applications to Abstract Fractional Calculus2509780UNINA