Mathematical Problems in Engineering

Fractional Mathematical Modelling and Optimal Control Problems of Differential Equations


Publishing date
01 Feb 2021
Status
Closed
Submission deadline
25 Sep 2020

Lead Editor

1Curtin University of Technology, Perth, Australia

2Qufu Normal University, Qufu, China

3Yantai University, Yantai, China

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

Fractional Mathematical Modelling and Optimal Control Problems of Differential Equations

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

Description

Many dynamic systems and optimal control processes possess nonlocal character, and either the performance index or the differential equations governing the dynamics of the system involve fractional derivatives. Fractional models usually have higher accuracy than the traditional integer order differential equation models in depicting long term memory effects and viscoelastic processes.

Owing to the salient features and high accuracy of fractional mathematical modelling, it has attracted increasing research interest in the control community and mathematics field, and various fractional mathematical modelling and analysis methodologies have been developed, such as fractional calculus theory, control design of fractional problems, parameter estimation, and numerical methods. However, there are some unsolved problems and challenges in fractional mathematical modelling and optimal control problems, which deserve further investigation. New advancements in fractional models and control problems will promote the development of analysis theory, computational methods, and mathematical physics as well as their applications to differential and integral equations.

The aim of this Special Issue is to report and promote the latest achievements and recent developments in fractional mathematical modelling and optimal control. We welcome researchers to submit original research articles as well as review articles in relation to the following listed topics

Potential topics include but are not limited to the following:

  • Nonlinear dynamic control problems with fractional derivative
  • Fractional mathematics model with boundary value conditions
  • Fractional mathematics model with initial value conditions
  • Inequalities of fractional integrals and fractional derivatives
  • Optimization with fractional differential equations
  • Numerical analysis and algorithms for fractional differential equations
  • Variational theory and fixed point theory in fractional calculus and their application
  • Fractional space theory and application
  • Operator theory in fractional calculus

Articles

  • Special Issue
  • - Volume 2021
  • - Article ID 8872845
  • - Research Article

A Numerical Method for Compressible Model of Contamination from Nuclear Waste in Porous Media

Zhifeng Wang
  • Special Issue
  • - Volume 2021
  • - Article ID 5130136
  • - Research Article

The Fractional View Analysis of Polytropic Gas, Unsteady Flow System

Hassan Khan | Saeed Islam | Muhammad Arif
  • Special Issue
  • - Volume 2021
  • - Article ID 8893940
  • - Research Article

Using Particle Swarm Optimization Algorithm to Calibrate the Term Structure Model

Yanli Zhou | Shican Liu | ... | Xiangyu Ge
  • Special Issue
  • - Volume 2021
  • - Article ID 5629868
  • - Research Article

Convergence Rate Analysis of the Proximal Difference of the Convex Algorithm

Xueyong Wang | Ying Zhang | ... | Xipeng Kou
  • Special Issue
  • - Volume 2020
  • - Article ID 8824126
  • - Research Article

Jacobian Nonsingularity in Nonlinear Symmetric Conic Programming Problems and Its Application

Yun Wang | Dezhou Kong
  • Special Issue
  • - Volume 2020
  • - Article ID 8858821
  • - Research Article

Nonparametric Estimation of Fractional Option Pricing Model

Qing Li | Songlin Liu | Misi Zhou
  • Special Issue
  • - Volume 2020
  • - Article ID 8878342
  • - Research Article

Refinements of Some Integral Inequalities for -Convex Functions

Ghulam Farid | Yu-Ming Chu | ... | Shin Min Kang
  • Special Issue
  • - Volume 2020
  • - Article ID 8874787
  • - Research Article

Study on the Design of Cantonese Cultural and Creative Products using Analytic Hierarchy Process

Xi Wang | Yongyi Gu
  • Special Issue
  • - Volume 2020
  • - Article ID 8813287
  • - Research Article

Positive Solutions for Two-Point Boundary Value Problems for Fourth-Order Differential Equations with Fully Nonlinear Terms

Yixin Zhang | Yujun Cui
  • Special Issue
  • - Volume 2020
  • - Article ID 5704251
  • - Research Article

Regional Controllability of Riemann–Liouville Time-Fractional Semilinear Evolution Equations

Asmae Tajani | Fatima Zahrae El Alaoui | Ali Boutoulout
Mathematical Problems in Engineering
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Acceptance rate48%
Submission to final decision53 days
Acceptance to publication27 days
CiteScore2.100
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Impact Factor1.430
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Article of the Year Award: Outstanding research contributions of 2021, as selected by our Chief Editors. Read the winning articles.