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Derivative with a new parameter : theory, methods and applications /
Annotation
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
London, UK :
Academic Press is an imprint of Elsevier,
[2015]
|
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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|---|---|---|---|
| 001 | SCIDIR_ocn922324031 | ||
| 003 | OCoLC | ||
| 005 | 20231120112024.0 | ||
| 006 | m o d | ||
| 007 | cr cnu|||unuuu | ||
| 008 | 150928t20152016enk ob 000 0 eng d | ||
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| 019 | |a 929521692 |a 1105187320 |a 1105572263 | ||
| 020 | |a 9780128038253 |q (electronic bk.) | ||
| 020 | |a 012803825X |q (electronic bk.) | ||
| 020 | |z 9780081006443 | ||
| 035 | |a (OCoLC)922324031 |z (OCoLC)929521692 |z (OCoLC)1105187320 |z (OCoLC)1105572263 | ||
| 050 | 4 | |a QA325 | |
| 072 | 7 | |a MAT |x 005000 |2 bisacsh | |
| 072 | 7 | |a MAT |x 034000 |2 bisacsh | |
| 082 | 0 | 4 | |a 515/.33 |2 23 |
| 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 London, UK : |b Academic Press is an imprint of Elsevier, |c [2015] | |
| 264 | 4 | |c �2016 | |
| 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 | ||
| 504 | |a Includes bibliographical references. | ||
| 588 | 0 | |a Online resource; title from PDF title page (ScienceDirect, viewed September 29, 2015). | |
| 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. | |
| 650 | 0 | |a Derivatives (Mathematics) | |
| 650 | 0 | |a Differential calculus. | |
| 650 | 6 | |a D�eriv�ees (Math�ematiques) |0 (CaQQLa)000287793 | |
| 650 | 6 | |a Calcul diff�erentiel. |0 (CaQQLa)201-0003657 | |
| 650 | 7 | |a MATHEMATICS |x Calculus. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Mathematical Analysis. |2 bisacsh | |
| 650 | 7 | |a Derivatives (Mathematics) |2 fast |0 (OCoLC)fst01893449 | |
| 650 | 7 | |a Differential calculus |2 fast |0 (OCoLC)fst00893441 | |
| 776 | 0 | 8 | |i Print version: |a Atangana, Abdon. |t Derivative with a New Parameter : Theory, Methods and Applications. |d : Elsevier Science, �2015 |z 9780081006443 |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/book/9780081006443 |z Texto completo |