LEADER 05375nam 22007335 450 001 9910254203803321 005 20200629161634.0 010 $a3-319-26721-3 024 7 $a10.1007/978-3-319-26721-0 035 $a(CKB)3780000000094082 035 $a(SSID)ssj0001599515 035 $a(PQKBManifestationID)16305837 035 $a(PQKBTitleCode)TC0001599515 035 $a(PQKBWorkID)14892334 035 $a(PQKB)11111112 035 $a(DE-He213)978-3-319-26721-0 035 $a(MiAaPQ)EBC6281834 035 $a(MiAaPQ)EBC5579492 035 $a(Au-PeEL)EBL5579492 035 $a(OCoLC)1066183215 035 $a(PPN)190885211 035 $a(EXLCZ)993780000000094082 100 $a20151207d2016 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aIntelligent Numerical Methods: Applications to Fractional Calculus$b[electronic resource] /$fby George A. Anastassiou, Ioannis K. Argyros 205 $a1st ed. 2016. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2016. 215 $a1 online resource (XVI, 423 p. 2 illus. in color.) 225 1 $aStudies in Computational Intelligence,$x1860-949X ;$v624 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-319-26720-5 327 $aNewton-Like Methods on Generalized Banach Spaces and Fractional Calculus -- Semilocal Convegence of Newton-Like Methods and Fractional Calculus -- Convergence of Iterative Methods and Generalized Fractional Calculus -- Fixed Point Techniques And Generalized Right Fractional Calculus -- Approximating Fixed Points And K-Fractional Calculus -- Iterative Methods And Generalized G-Fractional Calculus -- Unified Convergence Analysis For Iterative Algorithms And Fractional Calculus -- Convergence Analysis For Extended Iterative Algorithms And Fractional And Vector Calculus -- Convergence Analysis For Extended Iterative Algorithms And Fractional Calculus -- Secant-Like Methods And Fractional Calculus -- Secant-Like Methods And Modified G- Fractional Calculus -- Secant-Like Algorithms And Generalized Fractional Calculus -- Secant-Like Methods And Generalized G-Fractional Calculus Of Canavati-Type -- Iterative Algorithms And Left-Right Caputo Fractional Derivatives -- Iterative Methods On Banach Spaces With A Convergence Structure And Fractional Calculus -- Inexact Gauss-Newton Method For Singular Equations -- The Asymptotic Mesh Independence Principle -- Ball Convergence Of A Sixth Order Iterative Method -- Broyden?s Method With Regularily Continuous Divided Differences -- Left General Fractional Monotone Approximation -- Right General Fractional Monotone Approximation Theor -- Left Generalized High Order Fractional Monotone Approximation -- Right Generalized High Order Fractional Monotone Approximation -- Advanced Fractional Taylor?s Formulae -- Generalized Canavati Type Fractional Taylor?s Formulae. 330 $aIn this monograph the authors present Newton-type, Newton-like and other numerical methods, which involve fractional derivatives and fractional integral operators, for the first time studied in the literature. All for the purpose to solve numerically equations whose associated functions can be also non-differentiable in the ordinary sense. That is among others extending the classical Newton method theory which requires usual differentiability of function. Chapters are self-contained and can be read independently and several advanced courses can be taught out of this book. An extensive list of references is given per chapter. The book?s results are expected to find applications in many areas of applied mathematics, stochastics, computer science and engineering. As such this monograph is suitable for researchers, graduate students, and seminars of the above subjects, also to be in all science and engineering libraries. 410 0$aStudies in Computational Intelligence,$x1860-949X ;$v624 606 $aComputational intelligence 606 $aArtificial intelligence 606 $aComputer mathematics 606 $aComputational complexity 606 $aComputational Intelligence$3https://scigraph.springernature.com/ontologies/product-market-codes/T11014 606 $aArtificial Intelligence$3https://scigraph.springernature.com/ontologies/product-market-codes/I21000 606 $aComputational Science and Engineering$3https://scigraph.springernature.com/ontologies/product-market-codes/M14026 606 $aComplexity$3https://scigraph.springernature.com/ontologies/product-market-codes/T11022 615 0$aComputational intelligence. 615 0$aArtificial intelligence. 615 0$aComputer mathematics. 615 0$aComputational complexity. 615 14$aComputational Intelligence. 615 24$aArtificial Intelligence. 615 24$aComputational Science and Engineering. 615 24$aComplexity. 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 $a9910254203803321 996 $aIntelligent Numerical Methods: Applications to Fractional Calculus$92543731 997 $aUNINA