Advanced Applications of Fractional Differential Operators to Science and Technology

Advanced Applications of Fractional Differential Operators to Science and Technology

Release Date: April, 2020|Copyright: © 2020 |Pages: 401
DOI: 10.4018/978-1-7998-3122-8
ISBN13: 9781799831228|ISBN10: 1799831221|EISBN13: 9781799831242
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Description & Coverage
Description:

Fractional-order calculus dates to the 19th century but has been resurrected as a prevalent research subject due to its provision of more adequate and realistic descriptions of physical aspects within the science and engineering fields. What was once a classical form of mathematics is currently being reintroduced as a new modeling technique that engineers and scientists are finding modern uses for. There is a need for research on all facets of these fractional-order systems and studies of its potential applications.

Advanced Applications of Fractional Differential Operators to Science and Technology provides emerging research exploring the theoretical and practical aspects of novel fractional modeling and related dynamical behaviors as well as its applications within the fields of physical sciences and engineering. Featuring coverage on a broad range of topics such as chaotic dynamics, ecological models, and bifurcation control, this book is ideally designed for engineering professionals, mathematicians, physicists, analysts, researchers, educators, and students seeking current research on fractional calculus and other applied mathematical modeling techniques.

Coverage:

The many academic areas covered in this publication include, but are not limited to:

  • Bifurcation Control
  • Chaos Synchronization
  • Chaotic Dynamics
  • Circuit Realization
  • Complex Networks
  • Ecological Models
  • Mechanical Models
  • Novel Integration Schemes
  • Secure Communication
  • Transient Heat Diffusion
Reviews & Statements

"Once we understand how to relate fractional calculus between different observers or coordinate systems, a clear interpretation of physics applications will become straightforward and meaningful."

– Ehab Malkawi, United Arab Emirates University
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Editor/Author Biographies

Ahmed Ezzat Mohamed Matouk was born March 19, 1976. He received the B.Sc. in mathematics from Mathematics Department, Faculty of Science, Mansoura University, Mansoura, Egypt in 1999. He got the M.S. and PhD in Applied Mathematics from Mansoura University, respectively, in 2005 and 2013. His PhD thesis was titled “On Synchronization of Fractional Order Dynamical Systems.” He has been with the Mathematics Department, Faculty of Science at Majmaah University, Al-Majmaah, Saudi Arabia since 2017. His research interests include Fractional Calculus, Chaos Theory, Bifurcation Theory, Chaos Synchronization, Chaos Control, Complex Networks, and Mathematical Modeling.

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