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001432700 020__ $$a9783030569624$$q(electronic bk.)
001432700 020__ $$a3030569624$$q(electronic bk.)
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001432700 0247_ $$a10.1007/978-3-030-56962-4$$2doi
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001432700 050_4 $$aQA314$$b.A56 2020eb
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001432700 1001_ $$aAnastassiou, George A.,$$d1952-$$eauthor.
001432700 24510 $$aGeneralized fractional calculus :$$bnew advancements and applications /$$cGeorge A. Anastassiou.
001432700 264_1 $$aCham :$$bSpringer,$$c[2021]
001432700 264_4 $$c©2021
001432700 300__ $$a1 online resource (xv, 498 pages)
001432700 336__ $$atext$$btxt$$2rdacontent
001432700 337__ $$acomputer$$bc$$2rdamedia
001432700 338__ $$aonline resource$$bcr$$2rdacarrier
001432700 347__ $$bPDF
001432700 347__ $$atext file
001432700 4901_ $$aStudies in systems, decision and control ;$$vvolume 305
001432700 504__ $$aIncludes bibliographical references.
001432700 5058_ $$a9 Generalized g-Fractional Vector Representation Formula And Bochner Integral Type Inequalities for Banach Space Valued Functions -- 9.1 Background -- 9.2 Main Results -- References -- 10 Iterated g-Fractional Vector Bochner Integral Representation Formulae and Inequalities for Banach Space Valued Functions -- 10.1 Background -- 10.2 Main Results -- References -- 11 Vectorial Generalized g-Fractional Direct and Iterated Quantitative Approximation by Linear Operators -- 11.1 Motivation -- 11.2 Background -- 11.3 Main Results -- References
001432700 5058_ $$a12 Quantitative Multivariate Complex Korovkin Approximation Theory -- 12.1 Introduction -- 12.2 Background -- 12.3 Main Results -- 12.4 Applications -- References -- 13 M-Fractional Integral Type Inequalities -- 13.1 Introduction -- 13.2 Background -- 13.3 Main Results -- References -- 14 Principles of Stochastic Caputo Fractional Calculus with Fractional Approximation of Stochastic Processes -- 14.1 Introduction -- 14.2 Foundation of Stochastic Fractional Calculus -- 14.3 Background -- 14.4 Main Results -- 14.5 Application -- 14.6 Stochastic Korovkin Results -- References
001432700 5058_ $$a15 Trigonometric Caputo Fractional Approximation of Stochastic Processes -- 15.1 Introduction -- 15.2 Foundation of Stochastic Fractional Calculus (ch1515.10) -- 15.3 Background (See Also ch1515.10) -- 15.4 Main Results -- 15.5 Application -- 15.6 Trigonometric Stochastic Korovkin Results -- References -- 16 Conformable Fractional Quantitative Approximation of Stochastic Processes -- 16.1 Introduction -- 16.2 Background-I -- 16.3 Background-II -- 16.4 Main Results -- 16.5 Application -- 16.6 Stochastic Korovkin Results -- References
001432700 506__ $$aAccess limited to authorized users.
001432700 520__ $$aThis book deals with the quantitative fractional Korovkin type approximation of stochastic processes. Computational and fractional analysis play more and more a central role in nowadays either by themselves or because they cover a great variety of applications in the real world. The author applies generalized fractional differentiation techniques of Caputo, Canavati and Conformable types to a great variety of integral inequalities, e.g. of Ostrowski and Opial types, etc. Some of these are extended to Banach space valued functions. These inequalities have also great impact on numerical analysis, stochastics and fractional differential equations. The author continues with generalized fractional approximations by positive sublinear operators which derive from the presented Korovkin type inequalities, and the author include also abstract cases. The author present also multivariate complex Korovkin quantitative approximation theory. It follows M-fractional integral inequalities of Ostrowski and Polya types. The authors results are weighted so they provide a great variety of cases and applications. The author lays there the foundations of stochastic fractional calculus. The author considers both Caputo and Conformable fractional directions, and the author derives regular and trigonometric results. Our positive linear operators can be expectation operator commutative or not. This book results are expected to find applications in many areas of pure and applied mathematics and stochastics. As such this book is suitable for researchers, graduate students and seminars of the above disciplines, also to be in all science and engineering libraries.
001432700 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed February 4, 2021).
001432700 63000 $$aControl and systems theory.
001432700 650_0 $$aFractional differential equations.
001432700 650_0 $$aFractional calculus.
001432700 650_0 $$aComputational intelligence.
001432700 650_6 $$aÉquations différentielles fractionnaires.
001432700 650_6 $$aDérivées fractionnaires.
001432700 650_6 $$aIntelligence informatique.
001432700 655_0 $$aElectronic books.
001432700 77608 $$iPrint version:$$z3030569616$$z9783030569617$$w(OCoLC)1176325143
001432700 830_0 $$aStudies in systems, decision and control ;$$vv. 305.
001432700 852__ $$bebk
001432700 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-030-56962-4$$zOnline Access$$91397441.1
001432700 909CO $$ooai:library.usi.edu:1432700$$pGLOBAL_SET
001432700 980__ $$aBIB
001432700 980__ $$aEBOOK
001432700 982__ $$aEbook
001432700 983__ $$aOnline
001432700 994__ $$a92$$bISE