Discrete Dynamics in Nature and Society

Theoretical and Numerical Results for Fractional Difference and Differential Equations


Status
Published

1United Arab Emirates University, Al-Ain, UAE

2Prince Sultan University, Riyadh, Saudi Arabia


Theoretical and Numerical Results for Fractional Difference and Differential Equations

Description

In recent years, fractional calculus has been a subject of numerous investigations by scientists from mathematics, physics, and engineering communities. The widespread interest in this area of research arises mainly from its applications to many models in the fields of fluid mechanics, viscoelasticity, electromagnetic, acoustics, chemistry, biology, physics, neuron modeling, and material sciences. Therefore, the literature reveals a considerable amount of work on the field of fractional calculus and its applications. Besides, the discrete fractional calculus has attracted many researchers in different fields of science and engineering and has been theoretically developed fast in the last two decades.

In this special issue, we will focus on the recent theoretical andnumerical studiesondifference and fractional differential equations.

Potential topics include but are not limited to the following:

  • Fractional differential equations
  • Fractional difference and q-difference equations
  • Fractional difference and q-fractional difference variational calculus
  • Oscillation criteria for fractional and fractional difference dynamical systems
  • Fractional integrodifferential equations
  • System of integrodifferential equations
  • System of fractional integrodifferential equations

Articles

  • Special Issue
  • - Volume 2017
  • - Article ID 2543452
  • - Editorial

Theoretical and Numerical Results for Fractional Difference and Differential Equations

Qasem M. Al-Mdallal | Thabet Abdeljawad | Mohamed A. Hajji
  • Special Issue
  • - Volume 2017
  • - Article ID 9281049
  • - Research Article

Nontrivial Solutions for Time Fractional Nonlinear Schrödinger-Kirchhoff Type Equations

N. Nyamoradi | Y. Zhou | ... | A. Alsaedi
  • Special Issue
  • - Volume 2017
  • - Article ID 7695924
  • - Research Article

Asymptotic Solutions of Time-Space Fractional Coupled Systems by Residual Power Series Method

Wenjin Li | Yanni Pang
  • Special Issue
  • - Volume 2017
  • - Article ID 4149320
  • - Research Article

Arbitrary Order Fractional Difference Operators with Discrete Exponential Kernels and Applications

Thabet Abdeljawad | Qasem M. Al-Mdallal | Mohamed A. Hajji
  • Special Issue
  • - Volume 2017
  • - Article ID 5394528
  • - Research Article

Fractional Stochastic Differential Equations with Hilfer Fractional Derivative: Poisson Jumps and Optimal Control

Fathalla A. Rihan | Chinnathambi Rajivganthi | Palanisamy Muthukumar
  • Special Issue
  • - Volume 2017
  • - Article ID 4694305
  • - Research Article

Bifurcations and Synchronization of the Fractional-Order Bloch System

Xiaojun Liu | Ling Hong | ... | Lixin Yang
  • Special Issue
  • - Volume 2017
  • - Article ID 5234151
  • - Research Article

An Efficient Series Solution for Nonlinear Multiterm Fractional Differential Equations

Moh’d Khier Al-Srihin | Mohammed Al-Refai
  • Special Issue
  • - Volume 2017
  • - Article ID 5123240
  • - Research Article

Hartman-Wintner-Type Inequality for a Fractional Boundary Value Problem via a Fractional Derivative with respect to Another Function

Mohamed Jleli | Mokhtar Kirane | Bessem Samet
  • Special Issue
  • - Volume 2017
  • - Article ID 6157292
  • - Research Article

Centralized Data-Sampling Approach for Global Synchronization of Fractional-Order Neural Networks with Time Delays

Jin-E Zhang
Discrete Dynamics in Nature and Society
 Journal metrics
Acceptance rate24%
Submission to final decision59 days
Acceptance to publication83 days
CiteScore0.990
Impact Factor0.973
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