Mathematical Problems in Engineering

Theory and Applications of Fractional Order Systems


Publishing date
23 May 2014
Status
Published
Submission deadline
03 Jan 2014

1Department of Electrical, Electronics and Computer Engineering, University of Catania, Viale A. Doria 6, 95125 Catania, Italy

2Universidad de La Laguna, Department of Análisis Matemático, C/Astr Francisco Sánchez S/N, Tenerife, 38271 La Laguna, Spain

3Institute of Engineering (ISEP), Polytechnic of Porto, Department of Electrical Engineering, Rua Dr. Antonio Bernardino de Almeida, 431, 4200-072 Porto, Portugal


Theory and Applications of Fractional Order Systems

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 to bring 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

Before submission authors should carefully read over the journal’s Author Guidelines, which are located at http://www.hindawi.com/journals/mpe/guidelines/. Prospective authors should submit an electronic copy of their complete manuscript through the journal Manuscript Tracking System at http://mts.hindawi.com/submit/journals/mpe/fos/ according to the following timetable:


Articles

  • Special Issue
  • - Volume 2014
  • - Article ID 596195
  • - Editorial

Theory and Applications of Fractional Order Systems

Riccardo Caponetto | Josè A. Tenereiro Machado | Juan J. Trujillo
  • Special Issue
  • - Volume 2014
  • - Article ID 194249
  • - Research Article

An Efficient Iteration Method for Toeplitz-Plus-Band Triangular Systems Generated from Fractional Ordinary Differential Equation

Chunye Gong | Weimin Bao | ... | Jie Liu
  • Special Issue
  • - Volume 2014
  • - Article ID 238459
  • - Review Article

A Review of Definitions for Fractional Derivatives and Integral

Edmundo Capelas de Oliveira | José António Tenreiro Machado
  • Special Issue
  • - Volume 2014
  • - Article ID 918371
  • - Research Article

The Stability of Two-Step Runge-Kutta Methods for Neutral Delay Integro Differential-Algebraic Equations with Many Delays

Haiyan Yuan | Jihong Shen
  • Special Issue
  • - Volume 2014
  • - Article ID 575872
  • - Research Article

Analysis of Forest Fires by means of Pseudo Phase Plane and Multidimensional Scaling Methods

J. A. Tenreiro Machado | António M. Lopes
  • Special Issue
  • - Volume 2014
  • - Article ID 356906
  • - Research Article

The Restoration of Textured Images Using Fractional-Order Regularization

Ying Fu | Xiaohua Li | ... | Jiliu Zhou
  • Special Issue
  • - Volume 2014
  • - Article ID 567898
  • - Research Article

Modified Projective Synchronization between Different Fractional-Order Systems Based on Open-Plus-Closed-Loop Control and Its Application in Image Encryption

Hongjuan Liu | Zhiliang Zhu | ... | Qian Zhu
  • Special Issue
  • - Volume 2014
  • - Article ID 252393
  • - Research Article

Finite Series Representation of the Inverse Mittag-Leffler Function

John W. Hanneken | B. N. Narahari Achar
  • Special Issue
  • - Volume 2014
  • - Article ID 645059
  • - Research Article

Image Watermarking in the Linear Canonical Transform Domain

Bing-Zhao Li | Yu-Pu Shi
  • Special Issue
  • - Volume 2014
  • - Article ID 705364
  • - Research Article

Fundamental Solutions to Time-Fractional Advection Diffusion Equation in a Case of Two Space Variables

Y. Z. Povstenko
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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