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020 _a9783319695266
_9978-3-319-69526-6
024 7 _a10.1007/978-3-319-69526-6
_2doi
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_2bicssc
072 7 _aTEC009000
_2bisacsh
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082 0 4 _a006.3
_223
100 1 _aAnastassiou, George A.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_955239
245 1 0 _aFunctional Numerical Methods: Applications to Abstract Fractional Calculus
_h[electronic resource] /
_cby George A. Anastassiou, Ioannis K. Argyros.
250 _a1st ed. 2018.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2018.
300 _aX, 161 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aStudies in Systems, Decision and Control,
_x2198-4190 ;
_v130
505 0 _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.
520 _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.
650 0 _aComputational intelligence.
_97716
650 0 _aControl engineering.
_931970
650 0 _aArtificial intelligence.
_93407
650 0 _aSystem theory.
_93409
650 0 _aControl theory.
_93950
650 1 4 _aComputational Intelligence.
_97716
650 2 4 _aControl and Systems Theory.
_931972
650 2 4 _aArtificial Intelligence.
_93407
650 2 4 _aSystems Theory, Control .
_931597
700 1 _aArgyros, Ioannis K.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_955240
710 2 _aSpringerLink (Online service)
_955241
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783319695259
776 0 8 _iPrinted edition:
_z9783319695273
776 0 8 _iPrinted edition:
_z9783319887944
830 0 _aStudies in Systems, Decision and Control,
_x2198-4190 ;
_v130
_955242
856 4 0 _uhttps://doi.org/10.1007/978-3-319-69526-6
912 _aZDB-2-ENG
912 _aZDB-2-SXE
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999 _c79516
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