| Description |
1 online resource |
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text txt rdacontent |
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computer c rdamedia |
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online resource cr rdacarrier |
| Bibliography |
Includes bibliographical references. |
| Note |
Online resource; title from PDF title page (ScienceDirect, viewed September 29, 2015). |
| Contents |
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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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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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. |
| Summary |
Annotation 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. |
| Subject |
Derivatives (Mathematics)
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Differential calculus.
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Dérivées (Mathématiques)
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Calcul différentiel.
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MATHEMATICS -- Calculus.
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MATHEMATICS -- Mathematical Analysis.
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Derivatives (Mathematics)
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Differential calculus
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| Other Form: |
Print version: Atangana, Abdon. Derivative with a New Parameter : Theory, Methods and Applications. : Elsevier Science, ©2015 9780081006443 |
| ISBN |
9780128038253 (electronic bk.) |
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012803825X (electronic bk.) |
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9780081006443 |
| Standard No. |
CHNEW 001013147 |
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DEBBG BV043216552 |
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DEBSZ 451529634 |
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DEBSZ 461172429 |
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DEBSZ 482376627 |
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NLGGC 400913844 |
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