Discrete Dynamics in Nature and Society

Qualitative Analysis on Differential, Fractional Differential, and Dynamic Equations and Related Topics


Publishing date
05 Aug 2016
Status
Published
Submission deadline
18 Mar 2016

Lead Editor

1Cairo University, Giza, Egypt

2Mansoura University, Mansoura, Egypt

3University of Jinan, Jinan, China

4Missouri University of Science and Technology, Rolla, USA


Qualitative Analysis on Differential, Fractional Differential, and Dynamic Equations and Related Topics

Description

Fractional differential equations are generalizations of ordinary differential equations to an arbitrary (noninteger) order. Fractional differential equations have been of great interest recently. They are 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. Moreover, it is well known that discrete analogues of differential equations can be very useful in applications. Furthermore, the study in dynamic equations on time scales is rapidly growing.

The theory of dynamic equations not only unifies the theories of differential equations and difference equations, but also extends these classical cases to cases "in between", for example, to the so-called q-difference equations which have important applications in quantum theory and can be applied on different types of time scales. Further, the study in this theory has led to several important applications, for example, in the study of insect population models, neural networks, heat transfer, and epidemic models. Also, 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 original research articles as well as review articles.

Potential topics include, but are not limited to:

  • Recent developments in fractional differential/difference equations
  • Existence and uniqueness results for fractional differential/difference equations
  • Qualitative properties for solutions of fractional differential/difference equations
  • Modeling with discrete or continuous fractional derivatives
  • Recent developments in fractional differential/difference equations
  • Latest technologies and testing for fractional derivative on an arbitrary time scale
  • Qualitative analysis for solutions of dynamic equations on time scales
  • Dynamic and integral inequalities and their applications

Articles

  • Special Issue
  • - Volume 2016
  • - Article ID 3590319
  • - Editorial

Qualitative Analysis on Differential, Fractional Differential, and Dynamic Equations and Related Topics

Said R. Grace | Taher S. Hassan | ... | Elvan Akin
  • Special Issue
  • - Volume 2016
  • - Article ID 4231050
  • - Research Article

Asymptotic Behavior of Certain Integrodifferential Equations

Said Grace | Elvan Akin
  • Special Issue
  • - Volume 2016
  • - Article ID 7397941
  • - Research Article

On Mean Square Stability and Dissipativity of Split-Step Theta Method for Nonlinear Neutral Stochastic Delay Differential Equations

Haiyan Yuan | Jihong Shen | Cheng Song
  • Special Issue
  • - Volume 2016
  • - Article ID 7848793
  • - Research Article

Dynamics of Stochastic Coral Reefs Model with Multiplicative Nonlinear Noise

Zaitang Huang
  • Special Issue
  • - Volume 2016
  • - Article ID 6847956
  • - Research Article

Comparison Criteria for Nonlinear Functional Dynamic Equations of Higher Order

Taher S. Hassan | Said R. Grace
  • Special Issue
  • - Volume 2016
  • - Article ID 8073023
  • - Research Article

Helmholtz Theorem for Nondifferentiable Hamiltonian Systems in the Framework of Cresson’s Quantum Calculus

Frédéric Pierret | Delfim F. M. Torres
  • Special Issue
  • - Volume 2016
  • - Article ID 4190294
  • - Research Article

Harberger-Laursen-Metzler Effect with Modified Becker-Mulligan Preference by Dynamic Optimization

Deng-Shan Wang | Miao Jin | Zeng-Gang Guo
  • Special Issue
  • - Volume 2016
  • - Article ID 5749892
  • - Research Article

Stochastic Predator-Prey System Subject to Lévy Jumps

Xinzhu Meng | Xiaohong Wang
  • Special Issue
  • - Volume 2016
  • - Article ID 5036048
  • - Research Article

Exponential Attractor for the Boussinesq Equation with Strong Damping and Clamped Boundary Condition

Fan Geng | Ruizhai Li | ... | Xiangyu Ge
  • Special Issue
  • - Volume 2016
  • - Article ID 3565316
  • - Research Article

Bifurcation Behavior Analysis in a Predator-Prey Model

Nan Wang | Min Zhao | ... | Pengfei Wang
Discrete Dynamics in Nature and Society
 Journal metrics
Acceptance rate24%
Submission to final decision59 days
Acceptance to publication84 days
CiteScore0.990
Impact Factor0.973
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