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150729s2015 ne ob 000 0 eng d |
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|a NLE
|b eng
|e rda
|e pn
|c NLE
|d OCLCO
|d OCLCQ
|d OCLCF
|d EBLCP
|d IDB
|d MERUC
|d OCLCQ
|d WYU
|d CUY
|d ICG
|d DKC
|d OCLCQ
|d OCLCO
|d OCLCQ
|d OCLCO
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|a 932328744
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|a 9780128038253
|q (PDF ebook)
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|a 012803825X
|q (PDF ebook)
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|a 0081006446
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|a 9780081006443
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|z 9780081006443
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|z 0081006446
|q (Trade Paper)
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|a 9780081006443
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|a DEBBG
|b BV043892324
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|a (OCoLC)932055711
|z (OCoLC)932328744
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|a 9780128038253
|b Ingram Content Group
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|a QA325
|b .A836 2016eb
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|a 515.33
|2 23
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|a UAMI
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|a Atangana, Abdon,
|e author.
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|a Derivative with a new parameter :
|b theory, methods and applications /
|c Abdon Atangana.
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|a Amsterdam :
|b Academic Press,
|c 2015.
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|a 1 online resource
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|a text
|b txt
|2 rdacontent
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|a computer
|b c
|2 rdamedia
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|a online resource
|b cr
|2 rdacarrier
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|a CIP data; item not viewed.
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|a Title page; Table of Contents; Copyright; Dedication; Preface; Acknowledgments; Chapter 1: History of derivatives from Newton to Caputo; Abstract; 1.1 Introduction; 1.2 Definition of local and fractional derivative; 1.3 Definitions and properties of their anti-derivatives; 1.4 Limitations and strength of local and fractional derivatives; 1.5 Classification of fractional derivatives; Chapter 2: Local derivative with new parameter; Abstract; 2.1 Motivation; 2.2 Definition and anti-derivative; 2.3 Properties of local derivative with new parameter.
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|a 2.4 Definition of partial derivative with new parameter2.5 Properties of partial beta-derivatives; Chapter 3: Novel integrals transform; Abstract; 3.1 Definition of some integral transform operators; 3.2 Definition and properties of the beta-Laplace transform; 3.3 Definition and properties of the beta-Sumudu transform; 3.4 Definition and properties of beta-Fourier transform; Chapter 4: Method for partial differential equations with beta-derivative; Abstract; 4.1 Introduction; 4.2 Homotopy decomposition method; 4.3 Variational iteration method; 4.4 Sumudu decomposition method.
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|a 4.5 Laplace decomposition method4.6 Extension of match asymptotic method to fractional boundary layers problems; 4.7 Numerical method; 4.8 Generalized stationarity with a new parameter; Chapter 5: Applications of local derivative with new parameter; Abstract; 5.1 Introduction; 5.2 Model of groundwater flow within the confined aquifer; 5.3 Steady-state solutions of the flow in a confined and unconfined aquifer; 5.4 Model of groundwater flow equation within a leaky aquifer; 5.5 Model of Lassa fever or Lassa hemorrhagic fever; 5.6 Model of Ebola hemorrhagic fever; Bibliography.
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|a Annotation
|b This text starts off by giving a history of derivatives, from Newton to Caputo. It then goes on to introduce the new parameters for the local derivative, including its definition and properties. Additional topics define beta-Laplace transforms, beta-Sumudu transforms and beta-Fourier transforms, including their properties, and then go on to describe the method for partial differential with the beta derivatives. Subsequent sections give examples on how local derivatives with a new parameter can be used to model different applications, such as groundwater flow and different diseases.
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|a Includes bibliographical references.
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|a ProQuest Ebook Central
|b Ebook Central Academic Complete
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650 |
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|a Derivatives (Mathematics)
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650 |
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|a Dérivées (Mathématiques)
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650 |
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7 |
|a Derivatives (Mathematics)
|2 fast
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|i Print version
|z 9780081006443
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856 |
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|u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=4003863
|z Texto completo
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|a EBL - Ebook Library
|b EBLB
|n EBL4003863
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994 |
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|a 92
|b IZTAP
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