LEADER 04184nam 22006375 450 001 9910299870403321 005 20200630205726.0 010 $a3-319-69526-6 024 7 $a10.1007/978-3-319-69526-6 035 $a(CKB)4100000000881557 035 $a(DE-He213)978-3-319-69526-6 035 $a(MiAaPQ)EBC5115886 035 $a(PPN)220126909 035 $a(EXLCZ)994100000000881557 100 $a20171028d2018 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aFunctional Numerical Methods: Applications to Abstract Fractional Calculus /$fby George A. Anastassiou, Ioannis K. Argyros 205 $a1st ed. 2018. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2018. 215 $a1 online resource (X, 161 p.) 225 1 $aStudies in Systems, Decision and Control,$x2198-4182 ;$v130 311 $a3-319-69525-8 320 $aIncludes bibliographical references at the end of each chapters. 327 $aExplicit-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. 330 $aThis book presents applications of Newton-like and other similar methods to solve abstract functional equations involving fractional derivatives. It focuses on Banach space-valued functions of a real domain ? studied for the first time in the literature. Various issues related to the modeling and analysis of fractional order systems continue to grow in popularity, and the book provides a deeper and more formal analysis of selected issues that are relevant to many areas ? including decision-making, complex processes, systems modeling and control ? and deeply embedded in the fields of engineering, computer science, physics, economics, and the social and life sciences. The book offers a valuable resource for researchers and graduate students, and can also be used as a textbook for seminars on the above-mentioned subjects. All chapters are self-contained and can be read independently. Further, each chapter includes an extensive list of references. 410 0$aStudies in Systems, Decision and Control,$x2198-4182 ;$v130 606 $aComputational intelligence 606 $aAutomatic control 606 $aArtificial intelligence 606 $aSystem theory 606 $aComputational Intelligence$3https://scigraph.springernature.com/ontologies/product-market-codes/T11014 606 $aControl and Systems Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/T19010 606 $aArtificial Intelligence$3https://scigraph.springernature.com/ontologies/product-market-codes/I21000 606 $aSystems Theory, Control$3https://scigraph.springernature.com/ontologies/product-market-codes/M13070 615 0$aComputational intelligence. 615 0$aAutomatic control. 615 0$aArtificial intelligence. 615 0$aSystem theory. 615 14$aComputational Intelligence. 615 24$aControl and Systems Theory. 615 24$aArtificial Intelligence. 615 24$aSystems Theory, Control. 676 $a515.83 700 $aAnastassiou$b George A$4aut$4http://id.loc.gov/vocabulary/relators/aut$060024 702 $aArgyros$b Ioannis K$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910299870403321 996 $aFunctional Numerical Methods: Applications to Abstract Fractional Calculus$92509780 997 $aUNINA