Discrete Dynamics in Nature and Society

Fractional Difference and Differential Operators and their Applications in Nonlinear Systems


Publishing date
01 Nov 2020
Status
Closed
Submission deadline
19 Jun 2020

1UAE University, Al Ain, UAE

2Prince Sultan University, Riyadh, Saudi Arabia

3Cankaya University, Ankara, Turkey

This issue is now closed for submissions.
More articles will be published in the near future.

Fractional Difference and Differential Operators and their Applications in Nonlinear Systems

This issue is now closed for submissions.
More articles will be published in the near future.

Description

In recent years, the area of fractional calculus has been the subject of numerous investigations by researchers from the mathematics, physics, and engineering communities. By way of example, not exhaustive enumeration; this topic covers: computational biology, dynamics; non-equilibrium processes in physics, complex matter and networks, fractal geometry, fluid dynamics, fluctuations and random processes, etc.

The widespread interest in this area of research arises mainly from its applications to many real-life models. 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 quickly over the last two decades.

The aim of this Special Issue is to report the recent theoretical and numerical studies on fractional differential and difference equations and their life-life applications. Both original research articles, and review articles discussing the current state of the art, are welcomed.

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
  • Differential and variational inclusions
  • Fractional integro-differential equations
  • System of integro-differential equations
  • System of fractional integro-differential equations
  • Modelling real-life problems with nonlinear fractional differential and difference equations

Articles

  • Special Issue
  • - Volume 2020
  • - Article ID 3140275
  • - Research Article

Analysis of a Fractional Reaction-Diffusion HBV Model with Cure of Infected Cells

Moussa Bachraoui | Khalid Hattaf | Noura Yousfi
  • Special Issue
  • - Volume 2020
  • - Article ID 5827127
  • - Research Article

Monotone Iterative Technique for Conformable Fractional Differential Equations with Deviating Arguments

Huiling Chen | Shuman Meng | Yujun Cui
  • Special Issue
  • - Volume 2020
  • - Article ID 2617272
  • - Research Article

Existence and Uniqueness of Positive Solutions for a New System of Fractional Differential Equations

Hongyu Li | Yang Chen
  • Special Issue
  • - Volume 2020
  • - Article ID 8047347
  • - Research Article

Novel Approaches for Getting the Solution of the Fractional Black–Scholes Equation Described by Mittag-Leffler Fractional Derivative

Ndolane Sene | Babacar Sène | ... | Awa Traoré
  • Special Issue
  • - Volume 2020
  • - Article ID 7254254
  • - Research Article

Convergence of Antiperiodic Boundary Value Problems for First-Order Integro-Differential Equations

Yameng Wang | Juan Zhang | Yufeng Sun
  • Special Issue
  • - Volume 2020
  • - Article ID 1378457
  • - Research Article

Some Fractional Operators with the Generalized Bessel–Maitland Function

R. S. Ali | S. Mubeen | ... | K. S. Nisar
  • Special Issue
  • - Volume 2020
  • - Article ID 7126045
  • - Research Article

Fractional Hybrid Differential Equations and Coupled Fixed-Point Results for -Admissible Contractions in Metric Spaces

Erdal Karapinar | Shimaa I. Moustafa | ... | Ravi P. Agarwal
  • Special Issue
  • - Volume 2020
  • - Article ID 1020472
  • - Research Article

A Novel 2-Stage Fractional Runge–Kutta Method for a Time-Fractional Logistic Growth Model

Muhammad Sarmad Arshad | Dumitru Baleanu | ... | Muhammad Abbas
  • Special Issue
  • - Volume 2020
  • - Article ID 4565036
  • - Research Article

Point-Symmetric Extension-Based Interval Shannon-Cosine Spectral Method for Fractional PDEs

Ruyi Xing | Yanqiao Li | ... | Shu-Li Mei
  • Special Issue
  • - Volume 2020
  • - Article ID 8709393
  • - Research Article

Existence Theory and Novel Iterative Method for Dynamical System of Infectious Diseases

Gauhar Ali | Ghazala Nazir | ... | Yongjin Li
Discrete Dynamics in Nature and Society
 Journal metrics
Acceptance rate26%
Submission to final decision52 days
Acceptance to publication33 days
CiteScore1.800
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Impact Factor1.348
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