Discrete Dynamics in Nature and Society

Recent Developments and Applications on Discrete Fractional Equations and Related Topics


Publishing date
29 Nov 2013
Status
Published
Submission deadline
12 Jul 2013

Lead Editor

1School of Mathematical Sciences, University of Jinan, Jinan, Shandong 250022, China

2Department of Mathematics and Physical Sciences Prince Sultan University P.O.Box 66833, Riyadh 11586, Kingdom of Saudi Arabia

3Department of Mathematics and Physical Sciences, Prince Sultan University, P.O. Box 66833, Riyadh 11586, Saudi Arabia


Recent Developments and Applications on Discrete Fractional Equations and Related Topics

Description

Fractional differential equations have been of great interest recently. It is caused both by the intensive development of the theory of fractional differential equations itself and by the applications of such constructions in various sciences such as physics, mechanics, chemistry, and engineering. Along another line, it is well known that discrete analogues of differential equations can be very useful in applications. Due to the explosion in research within the fractional differential equation setting, research has led to new developments in theories of the fractional difference equations, fractional q equations. Furthermore, the study in dynamic equations on time scales is rapidly growing. The theory of dynamic equations unifies the theories of differential equations and difference equations. Therefore, it was expected to establish a general definition of fractional derivative on an arbitrary time scale and unify the theories of fractional differential equations and discrete fractional equations finally.

Thus, we invite authors to contribute to the original research articles as well as review articles as follows. Potential topics include, but are not limited to:

  • Recent developments in fractional difference equations
  • Advances in fractional q-difference equations
  • Development in fractional dynamic equations on special time scales hZ
  • Latest technologies and testing for fractional derivative on an arbitrary time scale

Before submission authors should carefully read over the journal's Author Guidelines, which are located at http://www.hindawi.com/journals/ddns/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/ddns/rdad/ according to the following timetable:


Articles

  • Special Issue
  • - Volume 2013
  • - Article ID 609861
  • - Editorial

Recent Developments and Applications on Discrete Fractional Equations and Related Topics

Shurong Sun | Thabet Abdeljawad | Jehad Alzabut
  • Special Issue
  • - Volume 2013
  • - Article ID 745674
  • - Research Article

A Mixed Monotone Operator Method for the Existence and Uniqueness of Positive Solutions to Impulsive Caputo Fractional Differential Equations

Jieming Zhang | Chen Yang | Chengbo Zhai
  • Special Issue
  • - Volume 2013
  • - Article ID 360182
  • - Research Article

Periodic Solutions of a Nonautonomous Plant-Hare Model with Impulses

Haihui Wu | Yan Zhou
  • Special Issue
  • - Volume 2013
  • - Article ID 679290
  • - Research Article

Solvability for Discrete Fractional Boundary Value Problems with a -Laplacian Operator

Weidong Lv
  • Special Issue
  • - Volume 2013
  • - Article ID 976914
  • - Research Article

The Solutions of Second-Order Linear Matrix Equations on Time Scales

Kefeng Li | Chao Zhang
  • Special Issue
  • - Volume 2013
  • - Article ID 758796
  • - Research Article

Boundedness of Solutions to Differential Equations of Fourth Order with Oscillatory Restoring and Forcing Terms

Cemil Tunç | Muzaffer Ateş
  • Special Issue
  • - Volume 2013
  • - Article ID 264025
  • - Research Article

Quasi-Linear Convection-Dominated Transport Problem Based on Characteristics-Mixed Finite Element Method

Peixin Zhao | Hongying Man
  • Special Issue
  • - Volume 2013
  • - Article ID 459161
  • - Research Article

Existence and Ulam Stability of Solutions for Discrete Fractional Boundary Value Problem

Fulai Chen | Yong Zhou
  • Special Issue
  • - Volume 2013
  • - Article ID 406910
  • - Research Article

On Delta and Nabla Caputo Fractional Differences and Dual Identities

Thabet Abdeljawad
  • Special Issue
  • - Volume 2013
  • - Article ID 390282
  • - Research Article

Oscillation for a Class of Fractional Differential Equation

Zhenlai Han | Yige Zhao | ... | Chao Zhang
Discrete Dynamics in Nature and Society
 Journal metrics
Acceptance rate26%
Submission to final decision64 days
Acceptance to publication63 days
CiteScore0.990
Impact Factor0.973
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