Description

Book Synopsis

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

    Table of Contents
    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.

Methods of Mathematical Modelling

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A Hardback by Harendra Singh, Devendra Kumar, Dumitru Baleanu

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    View other formats and editions of Methods of Mathematical Modelling by Harendra Singh

    Publisher: CRC Press
    Publication Date: 9/30/2019 12:00:00 AM
    ISBN13: 9780367220082, 978-0367220082
    ISBN10: 0367220083

    Description

    Book Synopsis

    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

      Table of Contents
      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.

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