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.
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.
This series is intended for mathematicians, engineers, and other scientists in a broad sense, and aims to cover new developments and advances in mathematics, as well as it's applications related to industrial and manufacturing engineering, as well as Human Factors and Ergonomics. A special emphasis is on modelling, engineering, and social sciences. The series will include important classical topics of a pure and applied nature presented in an attractive style that can benefit students, researchers, and practitioners. The series will include research level monographs, edited volumes, papers arising from seminars or lecture series that will make up reference books, that will be edited and cohesive to fit the theme of the series.