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024 7 $a10.1007/978-3-030-71481-9
035   $a(CKB)4100000011867201
035   $a(MiAaPQ)EBC6532695
035   $a(Au-PeEL)EBL6532695
035   $a(OCoLC)1245670086
035   $a(PPN)255292430
035   $a(BIP)79753812
035   $a(BIP)79127141
035   $a(DE-He213)978-3-030-71481-9
035   $a(EXLCZ)994100000011867201
100   $a20210401d2021      u|         0
101 0 $aeng
135   $aurcnu||||||||
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aConstructive Fractional Analysis with Applications /$fby George A. Anastassiou
205   $a1st ed. 2021.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2021.
215   $a1 online resource (523 pages) $cillustrations
225 1 $aStudies in Systems, Decision and Control,$x2198-4190 ;$v362
311 08$a3-030-71480-2 
320   $aIncludes bibliographical references.
327   $aVariable order general fractional integral inequalitie -- Variable order fractional integral inequalities for spherical shell -- Left fractional integral inequalities of E.R. Love type -- Right side fractional integral inequalities of E.R. Love type -- General fractional Landau inequalities -- Abstract fractional Landau inequalities -- Fractional Landau inequalities of Riemann-Liouville type -- Generalized Canavati fractional Landau inequalities -- Sequential left abstract fractional Landau inequalities -- Iterated left abstract generalized fractional Landau inequalities.
330   $aThis book includes constructive approximation theory; it presents ordinary and fractional approximations by positive sublinear operators, and high order approximation by multivariate generalized Picard, Gauss?Weierstrass, Poisson?Cauchy and trigonometric singular integrals. Constructive and Computational Fractional Analysis recently is more and more in the center of mathematics because of their great applications in the real world. In this book, all presented is original work by the author given at a very general level to cover a maximum number of cases in various applications. The author applies generalized fractional differentiation techniques of Riemann?Liouville, Caputo and Canavati types and of fractional variable order to various kinds of inequalities such as of Opial, Hardy, Hilbert?Pachpatte and on the spherical shell. He continues with E. R. Love left- and right-side fractional integral inequalities. They follow fractional Landau inequalities, of left and right sides, univariate and multivariate, including ones for Semigroups. These are developed to all possible directions, and right-side multivariate fractional Taylor formulae are proven for the purpose. It continues with several Gronwall fractional inequalities of variable order. This book results are expected to find applications in many areas of pure and applied mathematics. As such this book is suitable for researchers, graduate students and seminars of the above disciplines, also to be in all science and engineering libraries.
410  0$aStudies in Systems, Decision and Control,$x2198-4190 ;$v362
606   $aComputational intelligence
606   $aSystem theory
606   $aAlgorithms
606   $aComputational Intelligence
606   $aComplex Systems
606   $aDesign and Analysis of Algorithms
615  0$aComputational intelligence.
615  0$aSystem theory.
615  0$aAlgorithms.
615 14$aComputational Intelligence.
615 24$aComplex Systems.
615 24$aDesign and Analysis of Algorithms.
676   $a515.83
700   $aAnastassiou$b George A.$f1952-$060024
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910483545903321
996   $aConstructive fractional analysis with applications$92848168
997   $aUNINA