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 429835
  • - Research Article

Numerical Fractional-Calculus Model for Two-Phase Flow in Fractured Media

Wenwen Zhong | Changpin Li | Jisheng Kou
  • Special Issue
  • - Volume 2013
  • - Article ID 479634
  • - Research Article

A Fractional Anomalous Diffusion Model and Numerical Simulation for Sodium Ion Transport in the Intestinal Wall

Bo Yu | Xiaoyun Jiang
  • Special Issue
  • - Volume 2013
  • - Article ID 290216
  • - Research Article

Time Fractional Schrodinger Equation Revisited

B. N. Narahari Achar | Bradley T. Yale | John W. Hanneken
  • Special Issue
  • - Volume 2013
  • - Article ID 823535
  • - Research Article

Mild Solutions of Neutral Semilinear Stochastic Functional Dynamic Systems with Local Non-Lipschitz Coefficients

Feng Jiang
  • Special Issue
  • - Volume 2013
  • - Article ID 754248
  • - Research Article

Helmholtz and Diffusion Equations Associated with Local Fractional Derivative Operators Involving the Cantorian and Cantor-Type Cylindrical Coordinates

Ya-Juan Hao | H. M. Srivastava | ... | Xiao-Jun Yang
  • Special Issue
  • - Volume 2013
  • - Article ID 632309
  • - Research Article

Analysis of Fractal Wave Equations by Local Fractional Fourier Series Method

Yong-Ju Yang | Dumitru Baleanu | Xiao-Jun Yang
  • Special Issue
  • - Volume 2013
  • - Article ID 953695
  • - Research Article

Experimental Characterization of Ionic Polymer Metal Composite as a Novel Fractional Order Element

Riccardo Caponetto | Salvatore Graziani | ... | Francesca Sapuppo
  • Special Issue
  • - Volume 2013
  • - Article ID 426061
  • - Research Article

Existence of Solutions for Fractional Differential Inclusions with Separated Boundary Conditions in Banach Space

Mabrouk Bragdi | Amar Debbouche | Dumitru Baleanu
  • Special Issue
  • - Volume 2013
  • - Article ID 890784
  • - Research Article

A New Method with a Different Auxiliary Equation to Obtain Solitary Wave Solutions for Nonlinear Partial Differential Equations

Bülent Kiliç | Hasan Bulut
  • Special Issue
  • - Volume 2013
  • - Article ID 186037
  • - Research Article

The Proposed Modified Liu System with Fractional Order

Alireza K. Golmankhaneh | Roohiyeh Arefi | Dumitru Baleanu
Advances in Mathematical Physics
 Journal metrics
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Acceptance rate16%
Submission to final decision138 days
Acceptance to publication22 days
CiteScore1.900
Journal Citation Indicator0.430
Impact Factor1.2
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