Mathematical Problems in Engineering

Theory and Applications of Fractional Order Systems 2016


Publishing date
16 Sep 2016
Status
Published
Submission deadline
29 Apr 2016

1University of Catania, Catania, Italy

2Universidad de La Laguna, La Laguna, Spain

3Institute of Engineering (ISEP), Porto, Portugal


Theory and Applications of Fractional Order Systems 2016

Description

The advantages of fractional calculus and fractional order models (i.e., differential systems involving fractional order integrodifferential operators) and their applications have already been intensively studied during the last few decades with excellent results.

The long-range temporal or spatial dependence phenomena inherent to the fractional order systems present unique peculiarities not supported by their integer order counterpart, which permit better models of the dynamics of complex processes. Therefore, in many cases, these properties make fractional order system more adequate than usually adopted integer order one. Although noninteger differentiation has become a more and more popular tool for modeling and controlling the behaviors of physical systems from diverse applied branches of the science and engineering such as mechanics, electricity, chemistry, biology, and economics, many problems remain to be explored and solved.

This special issue aims at bringing together the latest advances in theory and applications of fractional order systems.

Potential topics include, but are not limited to:

  • Anomalous diffusion
  • Applications of fractional systems
  • Biomedical engineering
  • Computational fractional derivative equations
  • Fractional operators and models
  • Modeling control and identification
  • Nonlocal phenomena
  • Numerical algorithms and computational aspects
  • Signal and imaging processing
  • Special functions and integral transforms related to fractional calculus

Articles

  • Special Issue
  • - Volume 2016
  • - Article ID 7903424
  • - Editorial

Theory and Applications of Fractional Order Systems 2016

Riccardo Caponetto | Juan J. Trujillo | José A. Tenreiro Machado
  • Special Issue
  • - Volume 2016
  • - Article ID 6817483
  • - Research Article

Dynamic Hedging Based on Fractional Order Stochastic Model with Memory Effect

Qing Li | Yanli Zhou | ... | Xiangyu Ge
  • Special Issue
  • - Volume 2016
  • - Article ID 9258437
  • - Research Article

Convergence of Laguerre Impulse Response Approximation for Noninteger Order Systems

Piotr Bania | Jerzy Baranowski | Marta Zagórowska
  • Special Issue
  • - Volume 2016
  • - Article ID 1316046
  • - Research Article

Disturbance Rejection for Fractional-Order Time-Delay Systems

Hai-Peng Jiang | Yong-Qiang Liu
  • Special Issue
  • - Volume 2016
  • - Article ID 7845874
  • - Research Article

Nonlocal Transport Processes and the Fractional Cattaneo-Vernotte Equation

J. F. Gómez Aguilar | T. Córdova-Fraga | ... | G. V. Guerrero-Ramírez
  • Special Issue
  • - Volume 2016
  • - Article ID 7404652
  • - Research Article

Synchronization for a Class of Uncertain Fractional Order Chaotic Systems with Unknown Parameters Using a Robust Adaptive Sliding Mode Controller

Yan Yan
  • Special Issue
  • - Volume 2016
  • - Article ID 2814310
  • - Research Article

On the General Solution of Impulsive Systems with Hadamard Fractional Derivatives

Xianmin Zhang | Xianzhen Zhang | ... | Tong Shu
  • Special Issue
  • - Volume 2016
  • - Article ID 5976301
  • - Research Article

Fractional-Order Two-Port Networks

M. E. Fouda | A. S. Elwakil | ... | B. J. Maundy
  • Special Issue
  • - Volume 2016
  • - Article ID 7126080
  • - Research Article

An Operational Matrix of Fractional Differentiation of the Second Kind of Chebyshev Polynomial for Solving Multiterm Variable Order Fractional Differential Equation

Jianping Liu | Xia Li | Limeng Wu
  • Special Issue
  • - Volume 2016
  • - Article ID 5492535
  • - Research Article

Construction of Fractional Power Series Solutions to Fractional Boussinesq Equations Using Residual Power Series Method

Fei Xu | Yixian Gao | ... | He Zhang
Mathematical Problems in Engineering
 Journal metrics
Acceptance rate27%
Submission to final decision64 days
Acceptance to publication34 days
CiteScore1.800
Impact Factor1.009
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