Fractional Calculus

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 1618 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.

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

Auteur
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 toseveral 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

Contenu

R. El-Khazali, Closed-Form Discretization of Fractional-Order Differential and Integral Operators.- J. A. Tenreiro Machado, On fractional-order characteristics of vegetable tissues and edible drinks.- R. Leandre, Some relations between bounded below elliptic Operators and Stochastic Analysis.- R. R. Nigmatullin Kazan, discrete geometrical invariants: how to differentiate the pattern sequences from the tested ones?.- H. Benaouda, Nonlocal conditions for Semilinear Fractional Differential Equations with Hilfer derivative.- R. Mel´cio, Offshore wind system in the way of Energy 4.0: ride through fault aided by fractional PI control and VRFB.- O. Abu Arqub, Soft numerical algorithm with convergence analysis for time-fractional partial IDEs constrained by Neumann conditions.- R. El-Khazali, Approximation of Fractional-order Operators.- S. Momani, Multistep approach for nonlinear fractional Bloch system using Adomian decomposition techniques.- E. A. Abdel-Rehim, Simulation of the SpaceTime Fractional Ultrasound Waves with Attenuation in Fractal Media.- P. Agarwal, Certain Properties of Konhauser Polynomial via generalized Mittag-Leffler Function.- P. Agarwal, An Effective Numerical Technique Based on the Tau Method for the Eigenvalue Problems.- P. Agarwal, On hermite-hadamard type inequalities for co-ordinated convex mappings utilizing generalized fractional integrals.