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Derivative with a new parameter : theory, methods and applications /

Annotation

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Atangana, Abdon (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Amsterdam : Academic Press, 2015.
Temas:
Acceso en línea:Texto completo

MARC

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049 |a UAMI 
100 1 |a Atangana, Abdon,  |e author. 
245 1 0 |a Derivative with a new parameter :  |b theory, methods and applications /  |c Abdon Atangana. 
264 1 |a Amsterdam :  |b Academic Press,  |c 2015. 
300 |a 1 online resource 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
588 0 |a CIP data; item not viewed. 
505 0 |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. 
505 8 |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. 
505 8 |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. 
520 8 |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. 
504 |a Includes bibliographical references. 
590 |a ProQuest Ebook Central  |b Ebook Central Academic Complete 
650 0 |a Derivatives (Mathematics) 
650 6 |a Dérivées (Mathématiques) 
650 7 |a Derivatives (Mathematics)  |2 fast 
776 0 8 |i Print version  |z 9780081006443 
856 4 0 |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=4003863  |z Texto completo 
938 |a EBL - Ebook Library  |b EBLB  |n EBL4003863 
994 |a 92  |b IZTAP