Springer Proceedings in Mathematics & Statistics

Fractional Calculus

ICFDA 2018, Amman, Jordan, July 16-18

Editors: Agarwal, P., Baleanu, D., Chen, Y., Momani, S., Machado, J.A.T. (Eds.)

Free Preview
  • Showcases fractional calculus as an efficient tool for description, analysis, modeling, design, and decision making in complex dynamical processes Discusses recent theories and applications of fractional calculus  Focuses on improvements in physical world models for computer simulation, analysis, design, and control in practical applications Is useful to researchers in various fields of mechanics, electricity, chemistry, biology, medicine, economics, control theory, and signal and image processing

Buy this book

eBook n/a
  • ISBN 978-981-15-0430-3
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
Hardcover n/a
  • ISBN 978-981-15-0429-7
  • Free shipping for individuals worldwide
About this book

This book collects papers presented at the International Conference on Fractional Differentiation and its Applications (ICFDA), held at the University of Jordan, Amman, Jordan, on 16–18 July 2018. Organized into 13 chapters, the book discusses the latest trends in various fields of theoretical and applied fractional calculus. Besides an essential mathematical interest, its overall goal is a general improvement of the physical world models for the purpose of computer simulation, analysis, design and control in practical applications. It showcases the development of fractional calculus as an acceptable tool for a large number of diverse scientific communities due to more adequate modeling in various fields of mechanics, electricity, chemistry, biology, medicine, economics, control theory, as well as signal and image processing. The book will be a valuable resource for graduate students and researchers of mathematics and engineering.

About the authors

PRAVEEN AGARWAL is Professor at the Department of Mathematics, Anand International College of Engineering, Jaipur, India. On the editorial boards of several journals of repute and conducted, Professor Agarwal has conducted and attended a number of conferences. Recently, he has received the Most Outstanding Researcher 2018 award for his contribution to mathematics by the Union Minister of Human Resource Development of India. He has received numerous international research grants. He has published over 200 articles related to special functions, fractional calculus and mathematical physics in several leading mathematics journals. His latest research has focused on partial differential equations, fixed point theory and fractional differential equations.  DUMITRU BALEANU is Professor at the Department of Mathematics and Computer Sciences, Cankaya University, Turkey. He obtained his PhD in physics from Institute of Atomic Physics, Romania. He is affiliated to several learned societies including Mechatronic and Embedded Systems and Applications, Russian Gravitational Society, American Association for the Advanced of Science, European Physical Society, Turkish Physical Society and Romanian Physical Society. He has published eight books and over 125 research papers in proceedings and journals of repute. His research interest includes fractional calculus, discrete mathematics, quantisation of the systems with constraints, Hamilton–Jacobi formalism, geometries admitting generic and non-generic symmetries, chemometric techniques, wavelet method, and dynamic systems on time scales. YANGQUAN CHEN is Professor at the Department of Mechanical Engineering, University of California, Merced, USA. He earned his PhD from Nanyang Technological University, Singapore, in 1998. He was a faculty of electrical engineering at Utah State University from 2000–2012. He has been the co-chair for IEEE RAS Technical Committee on Unmanned Aerial Vehicle and Aerial Robotics (2012–2018). He was the Mechatronics and Embedded Systems Applications TC Chair for ASME Design Engineering Division in 2009-2010 and served as an Associate Editor for ASME Journal of Dynamics Systems, Measurements and Control (2009-2015) and IEEE Transactions on Control Systems Technology (2010–2016). Currently, he serves as the topic editor-in-chief of the International Journal of Advanced Robotic Systems and a senior editor of the International Journal of Intelligent Robotic Systems. He is an associate editor for Fractional Calculus and Applied Analysis, Mechatronics, Control Engineering Practice, IET Control Theory and Applications, and ISA Transactions. Dr Chen serves as the steering committee chair for the International Conference on Fractional Derivatives and Applications, a program chair for 2016 International Conference on Unmanned Aircraft Systems, and a member of the IEEE-USA's Committee on Transportation and Aerospace Policy. He is a member of IEEE, American Society of Mechanical Engineers, American Institute of Aeronautics and Astronautics, American Society for Photogrammetry and Remote Sensing, Association for Unmanned Vehicle Systems International and American Medical Association. His current research interests include mechatronics for sustainability; cognitive process control; small multi-UAV based cooperative multi-spectral “personal remote sensing”; applied fractional calculus in controls, modeling and complex signal processing; distributed measurement and distributed control of distributed parameter systems by using mobile actuator; and sensor networks. SHAHER MOMANI is Professor at the Department of Mathematics, Mu'tah University, Jordan. Earlier, he was associated with Qatar University, Jordan University, United Arab Emirates, Yarmouk University and the University of Wales. He earned his PhD in mathematics from the University of Wales, the United Kingdom, in 1991. He was awarded the Islamic Educational, Scientific and Cultural Organization Science Prize, in 2008 and the Third World Academy of Sciences prize, in 2000. He has published over 132 papers in several international journals of repute. His research interests are in areas of applied mathematics, non-Newtonian fluid mechanics, differential equations of applied mathematics, fractional calculus and fractional differential equation. J. A. TENREIRO MACHADO is Principal Coordinator Professor within the Department of Electrical Engineering, ISEP Institute of Engineering, Polytechnic of Porto, Portugal. He earned his PhD in Electrical and Computer Engineering at the University of Porto in 1989. He has authored/edited 26 books and over 182 articles in journals of repute. He has research interests in complex systems, nonlinear dynamics, fractional calculus, modeling, entropy, control, evolutionary computing, and genomics

Table of contents (13 chapters)

Table of contents (13 chapters)
  • Closed-Form Discretization of Fractional-Order Differential and Integral Operators

    Pages 1-17

    El-Khazali, Reyad (et al.)

  • On Fractional-Order Characteristics of Vegetable Tissues and Edible Drinks

    Pages 19-35

    Machado, J. A. Tenreiro (et al.)

  • Some Relations Between Bounded Below Elliptic Operators and Stochastic Analysis

    Pages 37-45

    Léandre, Rémi

  • Discrete Geometrical Invariants: How to Differentiate the Pattern Sequences from the Tested Ones?

    Pages 47-68

    Nigmatullin, Raoul R. (et al.)

  • Nonlocal Conditions for Semi-linear Fractional Differential Equations with Hilfer Derivative

    Pages 69-83

    Hedia, Benaouda

Buy this book

eBook n/a
  • ISBN 978-981-15-0430-3
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
Hardcover n/a
  • ISBN 978-981-15-0429-7
  • Free shipping for individuals worldwide
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
Fractional Calculus
Book Subtitle
ICFDA 2018, Amman, Jordan, July 16-18
Editors
  • Praveen Agarwal
  • Dumitru Baleanu
  • YangQuan Chen
  • Shaher Momani
  • José António Tenreiro Machado
Series Title
Springer Proceedings in Mathematics & Statistics
Series Volume
303
Copyright
2019
Publisher
Springer Singapore
Copyright Holder
Springer Nature Singapore Pte Ltd.
eBook ISBN
978-981-15-0430-3
DOI
10.1007/978-981-15-0430-3
Hardcover ISBN
978-981-15-0429-7
Series ISSN
2194-1009
Edition Number
1
Number of Pages
X, 249
Number of Illustrations
10 b/w illustrations, 90 illustrations in colour
Topics