Methods of Mathematical Modelling

Fractional Differential Equations
1. Auflage 2021
ISBN: 978-0-367-77655-8
Verlag: CRC Press

Buch, Englisch, 254 Seiten, Format (B × H): 156 mm x 234 mm, Gewicht: 395 g

Reihe: Mathematics and its Applications

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

Zielgruppe

Professional

Autoren/Hrsg.

Singh, Harendra

Kumar, Devendra

Baleanu, Dumitru

Fachgebiete

• Technische Wissenschaften Elektronik | Nachrichtentechnik Nachrichten- und Kommunikationstechnik Signalverarbeitung
• Technische Wissenschaften Technik Allgemein Industrial Engineering
• Technische Wissenschaften Maschinenbau | Werkstoffkunde Produktionstechnik Fertigungstechnik
• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
• Mathematik | Informatik Mathematik Mathematische Analysis Funktionalanalysis
• Wirtschaftswissenschaften Betriebswirtschaft Management Projektmanagement
• Technische Wissenschaften Technik Allgemein Technik: Allgemeines
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Technische Wissenschaften Sonstige Technologien | Angewandte Technik Signalverarbeitung, Bildverarbeitung, Scanning

Inhaltsverzeichnis

1. Fractional Model of Vibration Equation. 2. Fractional Schrodinger Equations. 3. Fractional Advection-Dispersion Equations. 4. Fractional Model of Chemical Reactors. 5. Fractional Gas Dynamics Equations. 6. Fractional Model of Smoking Dynamics. 7. Fractional Riccati Differential Equations. 8. Fractional Model of Bloch Equations. 9. Fractional Model of Diffusion Equations. 10. Fractional Klein-Gordon Equations. 11. Fractional Fornberg-Whitham Equation. 12. Fractional Biological Population Model.

Über Autor(innen)

Harendra Singh, Devendra Kumar, Dumitru Baleanu