Mathematical Problems in Engineering

Discrete Fractional-Order Systems with Applications in Engineering and Natural Sciences


Publishing date
01 Mar 2021
Status
Closed
Submission deadline
30 Oct 2020

1Suez Canal University, Ismailia, Egypt

2King Saud University, Riyadh, Saudi Arabia

3Mansoura University, Mansoura, Egypt

4Shandong Univeristy of Science and Technology, Qingdao, China

5Prince Sattam Bin Abdulaziz University, Al-Kharj, Saudi Arabia

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

Discrete Fractional-Order Systems with Applications in Engineering and Natural Sciences

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

Description

Fractional order differentiation and integration can be considered as a generalization of conventional integer order calculus to non-integer real or even complex-valued orders. The history of fractional calculus has started about 300 years ago. Fractional calculus can describe memory dependent behaviours and inherited properties of nonlinear systems. In the past few decades, employing fractional calculus (FC) in mathematical modelling of some engineering, physical, and economic systems represented an optimal choice for the formulation of more realistic models. Recently, FC has proved itself as a useful tool for applications in many fields of research such as physical systems, biomedicine, nonlinear electronic circuits, chaos-based cryptography, and image encryption. Examples of systems that can be precisely described by fractional-order differential equations (FODEs) involve viscoelastic material models, electrical components, electronic circuits, diffusion waves, propagation of waves in nonlocal elastic continua, hydrologic systems, earthquakes’ nonlinear oscillations, models of world economies, and equations of muscular blood vessels. In general, FODEs are more appropriate than the corresponding classical integer-order mathematical models in systems where memory effects are crucial, such as thermodynamics, chemistry, control theory, economic, biological, and social models.

Furthermore, the first one is continuous fractional-order calculus, which mainly corresponds to the integer-order differential calculus. The other one is the discrete fractional-order calculus, which mainly corresponds to the integer-order difference calculus. As an extension of the integer-order difference equation, the fractional-order difference equation has the function of long memory. The fractional difference equation, named discrete fractional equation, also can be regarded as the discrete form of a continuous fractional differential equation. The specific field of discrete fractional calculus (DFC) is a hot topic which develops rapidly in recent years. More recently, chaotic discrete fractional dynamical systems were proved their efficiency in some modern chaos based encryption schemes.

The Special Issue aims to gather results or studies on developments such as the novel discrete fractional order in engineering, physical, biological, and economical models, analytical insights into such models, stability analysis, bifurcation analysis, determination of chaotic behaviour, and implementation of chaos control methods. We welcome original research articles as well as review papers with a focus on the advances of discrete fractional-order systems with applications in engineering and natural sciences.

Potential topics include but are not limited to the following:

  • Development discrete fractional-order modelling in engineering and natural sciences
  • Dynamics of discrete fractional-order systems in engineering and natural sciences
  • Design and realization of discrete fractional order differentiators and integrators
  • Design and realization of discrete fractional order circuits including generalized filters and oscillators
  • Highly efficient information processing and artificial intelligence applications
  • Chaotic discrete fractional-order secure communication schemes
  • Chaotic image encryption schemes based on discrete fractional-order systems
  • Bifurcation and chaos analysis of discrete fractional-order models
  • Chaos control strategies for these models
  • Memristor-based discrete fractional-order systems
  • Chaos synchronization of discrete fractional-order models in relevant areas of engineering and natural sciences

Articles

  • Special Issue
  • - Volume 2021
  • - Article ID 2096868
  • - Research Article

Stability, Global Dynamics, and Social Welfare of a Two-Stage Game under R&D Spillovers

Wei Zhou | Tong Chu | Xiao-Xue Wang
  • Special Issue
  • - Volume 2021
  • - Article ID 6661543
  • - Research Article

Robustness Analysis of a Type of Iterative Algorithm for R-L Fractional Nonlinear Control Systems in the Sense of Norm

Yanfang Li | Xianghu Liu | Guangjun Xu
  • Special Issue
  • - Volume 2021
  • - Article ID 6768215
  • - Research Article

An Unprecedented 2-Dimensional Discrete-Time Fractional-Order System and Its Hidden Chaotic Attractors

Amina Aicha Khennaoui | A. Othman Almatroud | ... | Iqbal M. Batiha
  • Special Issue
  • - Volume 2020
  • - Article ID 7681479
  • - Research Article

Mathematical Analysis of Nonlocal Implicit Impulsive Problem under Caputo Fractional Boundary Conditions

Arshad Ali | Vidushi Gupta | ... | Fahd Jarad
  • Special Issue
  • - Volume 2020
  • - Article ID 1393456
  • - Research Article

Finite Difference/Fourier Spectral for a Time Fractional Black–Scholes Model with Option Pricing

Juan He | Aiqing Zhang
  • Special Issue
  • - Volume 2020
  • - Article ID 6529698
  • - Research Article

-Dimensional Fractional Frequency Laplace Transform by the Inverse Difference Operator

M. Meganathan | Thabet Abdeljawad | ... | Fahd Jarad
  • Special Issue
  • - Volume 2020
  • - Article ID 4308589
  • - Research Article

A Discrete Fractional-Order Prion Model Motivated by Parkinson’s Disease

M. F. Elettreby | E. Ahmed | A. S. Alqahtani
  • Special Issue
  • - Volume 2020
  • - Article ID 1405764
  • - Research Article

Forecasting Confirmed Cases, Deaths, and Recoveries from COVID-19 in China during the Early Stage

Lianyi Liu | Yan Chen | Lifeng Wu
  • Special Issue
  • - Volume 2020
  • - Article ID 3902931
  • - Research Article

A Transformation Method for Delta Partial Difference Equations on Discrete Time Scale

Syed Sabyel Haider | Mujeeb Ur Rehman | Thabet Abdeljawad
  • Special Issue
  • - Volume 2020
  • - Article ID 7898109
  • - Research Article

Design of Static Output Feedback Controller for Fractional-Order T-S Fuzzy System

Zhile Xia
Mathematical Problems in Engineering
 Journal metrics
Acceptance rate27%
Submission to final decision64 days
Acceptance to publication34 days
CiteScore1.800
Journal Citation Indicator0.400
Impact Factor1.305
 Submit

Article of the Year Award: Outstanding research contributions of 2020, as selected by our Chief Editors. Read the winning articles.