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Advanced Studies on Theory and Applications of Fractal and Fractional Calculus
Submission Deadline: Aug. 30, 2015
Lead Guest Editor
Department of Physics, School of Sciences, Tarbiat Modares University, Tehran, Iran
Guest Editors
  • Guodong Liu
    Department of Mathematics, Huizhou University, Huizhou, China
  • Yong Sun
    Department of Electronic Engineering, Kyushu Institute of Technology, Kitakyushu, Fukuoka, Japan
Guidelines for Submission
Manuscripts can be submitted until the expiry of the deadline. Submissions must be previously unpublished and may not be under consideration elsewhere.
Papers should be formatted according to the guidelines for authors (see: http://www.sciencepublishinggroup.com/journal/guideforauthors?journalid=141). By submitting your manuscripts to the special issue, you are acknowledging that you accept the rules established for publication of manuscripts, including agreement to pay the Article Processing Charges for the manuscripts. Manuscripts should be submitted electronically through the online manuscript submission system at http://www.sciencepublishinggroup.com/login. All papers will be peer-reviewed. Accepted papers will be published continuously in the journal and will be listed together on the special issue website.
Published Papers
The special issue currently is open for paper submission. Potential authors are humbly requested to submit an electronic copy of their complete manuscript by clicking here.
Introduction
In the 1960s Mandelbrot introduced the concept of fractals. Fractals show self-similar structures that their main property is non-integer Hausdorff dimension. Fractality can exist either in space or in time. Fractals have many applications in various branches of science and engineering.

Nowadays, it is known that there is a close connection between fractals and fractional dynamics.

Fractional dynamics is tied to the underlying fractal topology of space-time and studies the behavior of nonlinear physical systems that are characterized by power-law long-range spatial correlations or long-term memory and fractal or multi-fractal properties and described by differential and integral operators of non-integer orders. During the last years, the number of applications of fractional dynamics in science and particularly in physics has been steadily growing and includes models of fractional relaxation and oscillation phenomena, anomalous transport in fluids and plasma, wave propagation in complex media, viscoelastic materials, non-Markovian evolution of quantum fields, networks of fractional oscillators and so on.

In this special issue we will deal with the relationship between the fractality and fractional dynamics and their applications. Potential subjects of this special issue include:
1. Fractional calculus of fractal functions.
2. Applications of fractional models in description of fractal distributions.
3. Applications of fractional calculus and fractal operators in sciences and engineering such as physics and biophysics, mechanics.
4. Modeling of electrical, mechanical, thermal , economical and financial systems using fractional and fractal operators
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