Advances in Mathematical Physics

Advanced Topics in Fractional Dynamics


Publishing date
27 Dec 2013
Status
Published
Submission deadline
09 Aug 2013

1Department of Mathematics and Computer Sciences, Cankaya University, Ankara, Turkey

2Department of Mathematics and Statistics, University of Victoria, Victoria, BC, Canada V8W 3R4

3Department of Mathematics, University of Pune, Pune 411007, India

4Department of Mathematics, Shanghai University, Shanghai 200444, China


Advanced Topics in Fractional Dynamics

Description

Fractional order differentiation consists in the generalisation of classical integer differentiation to real or complex orders.

During the last decades, fractional differentiation has drawn increasing attention in the study of the so-called anomalous social and physical behaviors, where scaling power law of fractional order appears universal as an empirical description of such complex phenomena.

The goal of this special issue is to address the latest developments in the area of fractional calculus application in dynamical systems. Papers describing original research work that reflects the recent theoretical advances and experimental results as well as new topics for research are invited on all aspects of object tracking. Potential topics include, but are not limited to:

  • Modeling and applications of complex systems in physics, biology, biophysics, and medicine
  • Fractional variational principles
  • Continuous time random walk
  • Computational fractional derivative equations
  • Viscoelasticity
  • Fractional differential equations
  • Fractional operators on fractals
  • Local fractional derivatives
  • Automatic control
  • Thermal systems
  • Electromagnetism
  • Economical and financial systems
  • Electrical, mechanical, and thermal systems
  • Bifurcation
  • Chaos
  • Synchronization

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


Articles

  • Special Issue
  • - Volume 2013
  • - Article ID 723496
  • - Editorial

Advanced Topics in Fractional Dynamics

Dumitru Baleanu | H. M. Srivastava | ... | J. A. Tenreiro Machado
  • Special Issue
  • - Volume 2013
  • - Article ID 821327
  • - Research Article

Spectral-Collocation Methods for Fractional Pantograph Delay-Integrodifferential Equations

Yin Yang | Yunqing Huang
  • Special Issue
  • - Volume 2013
  • - Article ID 657245
  • - Research Article

Nonlinear Dynamics and Chaos in Fractional-Order Hopfield Neural Networks with Delay

Xia Huang | Zhen Wang | Yuxia Li
  • Special Issue
  • - Volume 2013
  • - Article ID 476154
  • - Research Article

On the Inverse Problem of the Fractional Heat-Like Partial Differential Equations: Determination of the Source Function

Gülcan Özkum | Ali Demir | ... | Berrak Özgür
  • Special Issue
  • - Volume 2013
  • - Article ID 918383
  • - Research Article

Pseudo-State Sliding Mode Control of Fractional SISO Nonlinear Systems

Bao Shi | Jian Yuan | Chao Dong
  • Special Issue
  • - Volume 2013
  • - Article ID 576709
  • - Research Article

Adaptive Sliding Mode Control of a Novel Class of Fractional Chaotic Systems

Jian Yuan | Bao Shi | Wenqiang Ji
  • Special Issue
  • - Volume 2013
  • - Article ID 836743
  • - Research Article

Fault Tolerant Control for Interval Fractional-Order Systems with Sensor Failures

Xiaona Song | Hao Shen
  • Special Issue
  • - Volume 2013
  • - Article ID 291386
  • - Research Article

Approximation Solutions for Local Fractional Schrödinger Equation in the One-Dimensional Cantorian System

Yang Zhao | De-Fu Cheng | Xiao-Jun Yang
  • Special Issue
  • - Volume 2013
  • - Article ID 421685
  • - Research Article

An Alpha-Beta Phase Diagram Representation of the Zeros and Properties of the Mittag-Leffler Function

John W. Hanneken | B. N. Narahari Achar | David M. Vaught
  • Special Issue
  • - Volume 2013
  • - Article ID 717659
  • - Research Article

An Enhanced Fractional Order Model of Ionic Polymer-Metal Composites Actuator

R. Caponetto | S. Graziani | ... | V. Tomasello
Advances in Mathematical Physics
 Journal metrics
Acceptance rate24%
Submission to final decision37 days
Acceptance to publication39 days
CiteScore1.300
Impact Factor1.130
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