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020 _a9783030869205
024 7 _a10.1007/978-3-030-86920-5
_2doi
040 _aTR-AnTOB
_beng
_cTR-AnTOB
_erda
041 _aeng
050 4 _aQA314
072 7 _aTBJ
_2bicssc
072 7 _aTEC009000
_2bisacsh
072 7 _aTBJ
_2thema
090 _aQA314EBK
100 1 _aAnastassiou, George A.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aUnification of Fractional Calculi with Applications
_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 ;
_v398
505 0 _aProgress on generalized Hilfer fractional calculus and fractional integral inequalities -- Landau Generalized Hilfer fractional inequalities -- Iyengar-Hilfer generalized fractional inequalities -- Generalized Hilfer-Polya, Hilfer-Ostrowski and Hilfer-Hilbert-Pachpatte fractional inequalities -- Generalized Hilfer Fractional Approximation of Csiszar’s f-Divergence -- Generalized Hilfer fractional self-adjoint operator inequalities -- Essential forward and reverse generalized Hilfer-Hardy fractional inequalities -- Principles of Generalized Prabhakar-Hilfer fractional Calculus and Applications.
520 _aThis book demonstrates the unifying methods of generalized versions of Hilfer, Prabhakar and Hilfer–Prabhakar fractional calculi, and we establish related unifying fractional integral inequalities of the following types: Iyengar, Landau, Polya, Ostrowski, Hilbert–Pachpatte, Hardy, Opial, Csiszar’s f-Divergence, self-adjoint operator and related to fuzziness. Our results are univariate and multivariate. 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 can be 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 _aDynamics.
650 0 _aNonlinear theories.
650 0 _aControl engineering.
650 1 4 _aEngineering Mathematics.
650 2 4 _aApplied Dynamical Systems.
650 2 4 _aControl and Systems Theory.
653 0 _aFractional calculus
710 2 _aSpringerLink (Online service)
830 0 _aStudies in Systems, Decision and Control,
_x2198-4190 ;
_v398
856 4 0 _uhttps://doi.org/10.1007/978-3-030-86920-5
_3Springer eBooks
_zOnline access link to the resource
942 _2lcc
_cEBK