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Fractional order systems : an overview of mathematics, design, and applications for engineers /
Fractional Order Systems: An Overview of Mathematics, Design, and Applications for Engineers introduces applications from a design perspective, helping readers plan and design their own applications. The book includes the different techniques employed to design fractional-order systems/devices compr...
| Clasificación: | Libro Electrónico |
|---|---|
| Otros Autores: | , , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
London ; San Diego, CA :
Academic Press,
[2022]
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| Colección: | Emerging methodologies and applications in modelling, identification and control.
|
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 245 | 0 | 0 | |a Fractional order systems : |b an overview of mathematics, design, and applications for engineers / |c edited by Ahmed G. Radwan, Farooq Ahmad Khanday, Lobna A. Said. |
| 264 | 1 | |a London ; |a San Diego, CA : |b Academic Press, |c [2022] | |
| 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 | ||
| 490 | 1 | |a Emerging methodologies and applications in modelling, identification and control ; |v volume 1 | |
| 504 | |a Includes bibliographical references and index. | ||
| 588 | 0 | |a Online resource; title from digital title page (viewed on December 07, 2021). | |
| 520 | |a Fractional Order Systems: An Overview of Mathematics, Design, and Applications for Engineers introduces applications from a design perspective, helping readers plan and design their own applications. The book includes the different techniques employed to design fractional-order systems/devices comprehensively and straightforwardly. Furthermore, mathematics is available in the literature on how to solve fractional-order calculus for system applications. This book introduces the mathematics that has been employed explicitly for fractional-order systems. It will prove an excellent material for students and scholars who want to quickly understand the field of fractional-order systems and contribute to its different domains and applications. Fractional-order systems are believed to play an essential role in our day-to-day activities. Therefore, several researchers around the globe endeavor to work in the different domains of fractional-order systems. The efforts include developing the mathematics to solve fractional-order calculus/systems and to achieve the feasible designs for various applications of fractional-order systems. | ||
| 505 | 0 | |a Front Cover -- Fractional Order Systems -- Copyright -- Contents -- List of contributors -- 1 A survey on numerical studies for fractional biological models and their optimal control -- 1.1 Introduction -- 1.2 Primary definitions of fractional calculus -- 1.3 Fractional optimal control problem -- 1.4 A survey on fractional biological models and their optimal control -- 1.5 A survey on numerical methods for solving fractional optimal control biological models -- 1.5.1 Iterative optimal control method -- 1.5.2 Nonstandard finite difference method -- 1.5.2.1 Grunwald-Letnikov nonstandard finite difference method -- 1.5.3 Nonstandard weighted average finite difference method -- 1.5.4 Nonstandard implicit compact finite difference method -- 1.5.5 Nonstandard generalized Euler method -- 1.5.6 Two-step nonstandard Lagrange interpolation method -- 1.5.7 Shifted Jacobi collocation method -- 1.5.7.1 Jacobi spectral method with fractional derivative -- 1.6 A novel fractional-order malaria mathematical model -- 1.7 HFOCP -- 1.7.1 Numerical methods for solving HFOCP -- 1.7.2 CPC-NSFDM -- 1.7.3 C-NSFDM -- 1.7.4 Stability analysis for CPC-NSFDM -- 1.8 Numerical experiment and discussion -- 1.9 Conclusions -- References -- 2 A collection of interdisciplinary applications of fractional-order circuits -- 2.1 Introduction -- 2.2 Implementation of the approximated Laplacian operator -- 2.3 Biomedical signal processing applications -- 2.3.1 Mihalas-Niebur neuron model -- 2.3.2 Extraction of R peaks in ECG signals -- 2.3.3 Phantom EEG system model -- 2.4 Bio-impedance applications -- 2.4.1 Artificial human eardrum model -- 2.4.2 Biceps tissue model -- 2.4.3 Cardiac tissue electrode interface model -- 2.4.4 Lung model of the human respiratory tree -- 2.5 Sensor applications -- 2.6 Conclusions and discussion -- Acknowledgments -- References -- 3 Fractional-order control. | |
| 505 | 8 | |a 3.1 Introduction -- 3.2 Fractional-order systems and controllers -- 3.2.1 Fractional calculus -- 3.2.2 Fractional-order systems -- 3.2.3 Fractional-order controllers -- 3.2.4 Numerical solution of fractional-order differential equations -- 3.3 New fractional-order control techniques -- 3.3.1 Nonlinear fractional-order controller -- Definition -- Illustrative example -- 3.3.2 Fractional-order adaptive control -- Definition -- Illustrative example -- 3.3.3 Fractional-order extremal control -- Definition -- Illustrative example -- 3.4 Discussion and conclusions -- Acknowledgment -- References -- 4 Fractional-order systems, numerical techniques, and applications -- 4.1 Introduction -- 4.2 Numerical methods for solving the multiterm time-fractional diffusion-wave equation -- 4.2.1 A two-term mobile/immobile time-fractional advection-dispersion equation -- 4.2.2 A two-term time-fractional diffusion-wave equation -- 4.2.3 Multiterm time-fractional diffusion-wave equation -- 4.2.4 Numerical examples -- 4.3 Analytical solution of the multiterm time-fractional differential equation and application to unsteady flow of generalized viscoelastic fluid -- 4.3.1 Multiterm time-fractional dynamic models -- 4.3.2 Separation of variables method -- 4.3.3 Analytical solution of the multiterm time-fractional equation -- 4.3.3.1 Definitions and theorem -- 4.3.3.2 Solutions of fractional models -- 4.3.4 Numerical examples -- 4.4 Numerical analysis of multiterm time-fractional viscoelastic non-Newtonian fluid models for simulating unsteady MHD Couette flow of generalized Oldroyd-B fluid -- 4.4.1 Preliminaries -- 4.4.2 Derivation of the numerical schemes -- 4.4.2.1 Scheme I: First-order implicit scheme -- 4.4.2.2 Scheme II: Mixed L scheme -- 4.4.3 Theoretical analysis -- 4.4.3.1 Solvability -- 4.4.3.2 Stability -- 4.4.3.3 Convergence -- 4.4.4 Numerical examples. | |
| 505 | 8 | |a 4.5 A fractional alternating-direction implicit method for a multiterm time-space fractional Bloch-Torrey equation in 3D -- 4.5.1 Fractional alternating-direction implicit method -- 4.5.2 Stability and convergence of the fractional alternating-direction implicit method -- 4.5.3 Numerical examples -- References -- 5 Fractional-order systems, numerical techniques, and applications -- 5.1 Introduction -- 5.2 Unstructured-mesh Galerkin finite element method for the 2D multiterm time-space fractional Bloch-Torrey equations on irregular convex domains -- 5.2.1 Preliminaries -- 5.2.2 Finite element method -- 5.2.2.1 The fully discrete finite element scheme -- 5.2.2.2 The FEM with an unstructured mesh -- 5.2.3 Stability and convergence -- 5.2.4 The FEM for a 2D coupled system of multiterm time-space fractional Bloch-Torrey equations -- 5.2.5 Numerical examples -- 5.3 Finite difference/finite element method for a 2D multiterm time-fractional mixed subdiffusion and diffusion-wave equation on convex domains -- 5.3.1 Preliminaries -- 5.3.2 The finite element method -- 5.3.2.1 Finite element Scheme I -- 5.3.2.2 Implementation of the finite element scheme -- 5.3.2.3 Finite element Scheme II -- 5.3.3 Stability and convergence -- 5.3.4 Numerical examples -- 5.4 Alternating-direction implicit spectral Galerkin method for the multiterm time-space fractional diffusion equation in three dimensions -- 5.4.1 Preliminaries -- 5.4.2 Numerical scheme -- 5.4.2.1 Variational formulation -- 5.4.2.2 Time semidiscrete scheme -- 5.4.2.3 Fully discrete scheme -- 5.4.2.4 Theoretical results -- 5.4.3 Implementation -- 5.4.3.1 Computing the mass and stiff matrices -- 5.4.3.2 Implementation of the ADI method -- 5.4.4 Numerical examples -- 5.5 Space-time spectral method for the multiterm time-fractional diffusion equations -- 5.5.1 Preliminaries. | |
| 650 | 0 | |a Intelligent control systems |x Mathematics. | |
| 650 | 0 | |a Fractional calculus. | |
| 650 | 0 | |a Mathematical optimization. | |
| 650 | 6 | |a Commande intelligente |0 (CaQQLa)201-0203115 |x Math�ematiques. |0 (CaQQLa)201-0380112 | |
| 650 | 6 | |a D�eriv�ees fractionnaires. |0 (CaQQLa)201-0283840 | |
| 650 | 6 | |a Optimisation math�ematique. |0 (CaQQLa)201-0007680 | |
| 650 | 7 | |a Fractional calculus. |2 fast |0 (OCoLC)fst00933515 | |
| 650 | 7 | |a Mathematical optimization. |2 fast |0 (OCoLC)fst01012099 | |
| 700 | 1 | |a Radwan, Ahmed G., |e editor. | |
| 700 | 1 | |a Khanday, Farooq Ahmad, |e editor. | |
| 700 | 1 | |a Said, Lobna A., |e editor. | |
| 776 | 0 | 8 | |i Print version: |z 0128242930 |z 9780128242933 |w (OCoLC)1241442744 |
| 830 | 0 | |a Emerging methodologies and applications in modelling, identification and control. | |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/book/9780128242933 |z Texto completo |