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020 _a9783031051487
024 7 _a10.1007/978-3-031-05148-7
_2doi
040 _aTR-AnTOB
_beng
_erda
_cTR-AnTOB
041 _aeng
050 4 _aQA326
072 7 _aTBJ
_2bicssc
072 7 _aTEC009000
_2bisacsh
072 7 _aTBJ
_2thema
090 _aQA326EBK
100 1 _aAnastassiou, George A.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aFractional Inequalities In Banach Algebras
_h[electronic resource] /
_cby George A. Anastassiou.
250 _a1st ed. 2022.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2022.
300 _a1 online 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 ;
_v441
505 0 _aGeneralized Fractional Ostrowski and Gruss inequalities with multiple Banach algebra valued functions -- Iterated Generalized Fractional Ostrowski and Gruss inequalities with multiple Banach algebra valued functions -- Generalized Canavati Fractional Ostrowski, Opial and Gruss inequalities with multiple Banach algebra valued functions -- Generalized Canavati Fractional Hilbert-Pachpatte inequalities for Banach algebra valued functions -- Generalized Ostrowski, Opial and Hilbert-achpatte inequalities for Banach algebra valued functions involving integer vectorial derivatives.
520 _aThis book presents generalized Caputo fractional Ostrowski and Grüss-type inequalities involving several Banach algebra valued functions. Furthermore, the author gives generalized Canavati fractional Ostrowski, Opial, Grüss, and Hilbert-Pachpatte-type inequalities for multiple Banach algebra valued functions. By applying the p-Schatten norms over the von Neumann–Schatten classes, the author produces the analogous refined and interesting inequalities. The author provides many applications. This book’s results are expected to find applications in many areas of pure and applied mathematics, especially in fractional inequalities and fractional differential equations. Other interesting applications are in applied sciences like geophysics, physics, chemistry, economics, and engineering. This book is appropriate for researchers, graduate students, practitioners, and seminars of the above disciplines, also to be in all science and engineering libraries.
650 0 _aEngineering mathematics.
650 0 _aControl engineering.
650 0 _aEngineering—Data processing.
650 1 4 _aEngineering Mathematics.
650 2 4 _aControl and Systems Theory.
650 2 4 _aMathematical and Computational Engineering Applications.
653 0 _aBanach algebras
653 0 _aFractional differential equations
710 2 _aSpringerLink (Online service)
830 0 _aStudies in Systems, Decision and Control,
_x2198-4190 ;
_v441
856 4 0 _uhttps://doi.org/10.1007/978-3-031-05148-7
_3Springer eBooks
_zOnline access link to the resource
942 _2lcc
_cEBK