Methods of Mathematical Modelling (Record no. 70161)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 05493cam a2200577Mu 4500 |
| 001 - CONTROL NUMBER | |
| control field | 9780429274114 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20220711212010.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 190921s2019 xx o 000 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9781000596786 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 1000596788 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9780429274114 |
| -- | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 0429274114 |
| -- | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9781000606485 |
| -- | (electronic bk. : EPUB) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 1000606481 |
| -- | (electronic bk. : EPUB) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9781000601633 |
| -- | (electronic bk. : Mobipocket) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 1000601633 |
| -- | (electronic bk. : Mobipocket) |
| 082 04 - CLASSIFICATION NUMBER | |
| Call Number | 515.35 |
| 245 00 - TITLE STATEMENT | |
| Title | Methods of Mathematical Modelling |
| Sub Title | Fractional Differential Equations. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication | Milton : |
| Publisher | CRC Press LLC, |
| Year of publication | 2019. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | 1 online resource (255 p.). |
| 490 1# - SERIES STATEMENT | |
| Series statement | Mathematics and Its Applications |
| 500 ## - GENERAL NOTE | |
| Remark 1 | Description based upon print version of record. |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Remark 2 | Cover; Half Title; Series Page; Title Page; Copyright Page; Contents; Preface; Editors; Contributors; 1 Mathematical Analysis and Simulation of Chaotic Tritrophic Ecosystem Using Fractional Derivatives with Mittag-Leffler Kernel; 1.1 Introduction; 1.2 Method of Approximation of Fractional Derivative; 1.3 Model Equations and Stability Analysis; 1.3.1 Fractional Food Chain Dynamics with Holling Type II Functional Response; 1.3.2 Multi-Species Ecosystem with a Beddington-DeAngelis Functional Response; 1.4 Numerical Experiment for Fractional Reaction-Diffusion Ecosystem; 1.5 Conclusion |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Remark 2 | 4 A New Approximation Scheme for Solving Ordinary Differential Equation with Gomez-Atangana-Caputo Fractional Derivative4.1 Introduction; 4.2 A New Numerical Approximation; 4.2.1 Error Estimate; 4.3 Application; 4.3.1 Example 1; 4.3.2 Example 2; 4.3.3 Example 3; 4.4 Conclusion; References; 5 Fractional Optimal Control of Diffusive Transport Acting on a Spherical Region; 5.1 Introduction; 5.2 Preliminaries; 5.3 Formulation of Axis-Symmetric FOCP; 5.3.1 Half Axis-Symmetric Case; 5.3.2 Complete Axis-Symmetric Case; 5.4 Numerical Results; 5.5 Conclusions; References |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Remark 2 | 6 Integral-Balance Methods for the Fractional Diffusion Equation Described by the Caputo-Generalized Fractional Derivative6.1 Introduction; 6.2 Fractional Calculus News; 6.3 Basics Calculus for the Integral-Balance Methods; 6.4 Integral-Balance Methods; 6.4.1 Approximation with the HBIM; 6.4.2 Approximation with DIM; 6.5 Approximate Solutions of the Generalized Fractional Diffusion Equations; 6.5.1 Quadratic Profile; 6.5.2 Cubic Profile; 6.6 Myers and Mitchell Approach for Exponent n; 6.6.1 Residual Function; 6.6.2 At Boundary Conditions; 6.6.3 Outsides of Boundary Conditions |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Remark 2 | 6.7 ConclusionReferences; 7 A Hybrid Formulation for Fractional Model of Toda Lattice Equations; 7.1 Introduction; 7.2 Basic Idea of HATM with Adomian's Polynomials; 7.3 Application to the Toda Lattice Equations; 7.4 Numerical Result and Discussion; 7.5 Concluding Remarks; Acknowledgements; References; 8 Fractional Model of a Hybrid Nanofluid; 8.1 Introduction; 8.2 Problem's Description; 8.3 Generalization of Local Model; 8.4 Solution of the Problem; 8.4.1 Solutions of the Energy Equation; 8.4.2 Solution of Momentum Equation; 8.5 Results and Discussion; 8.6 Concluding Remarks; Acknowledgment |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | This book features original research articles on the topic of mathematical modelling and fractional differential equations. The contributions, written by leading researchers in the field, consist of chapters on classical and modern dynamical systems modelled by fractional differential equations in physics, engineering, signal processing, fluid mechanics, and bioengineering, manufacturing, systems engineering, and project management. The book offers theory and practical applications for the solutions of real-life problems and will be of interest to graduate level students, educators, researchers, and scientists interested in mathematical modelling and its diverse applications. Features Presents several recent developments in the theory and applications of fractional calculus Includes chapters on different analytical and numerical methods dedicated to several mathematical equations Develops methods for the mathematical models which are governed by fractional differential equations Provides methods for models in physics, engineering, signal processing, fluid mechanics, and bioengineering Discusses real-world problems, theory, and applications |
| 700 1# - AUTHOR 2 | |
| Author 2 | Singh, Harendra. |
| 700 1# - AUTHOR 2 | |
| Author 2 | Kumar, Devendra. |
| 700 1# - AUTHOR 2 | |
| Author 2 | Baleanu, D. |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | https://www.taylorfrancis.com/books/9780429274114 |
| 856 42 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | http://www.oclc.org/content/dam/oclc/forms/terms/vbrl-201703.pdf |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | eBooks |
| 588 ## - | |
| -- | OCLC-licensed vendor bibliographic record. |
| 650 #7 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | TECHNOLOGY / Engineering / Industrial |
| 650 #7 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | TECHNOLOGY / Manufacturing |
| 650 #7 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | MATHEMATICS / Applied |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Mathematical models. |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Fractional differential equations. |
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