Special Issues

We are pleased to announce the launch of a program of the Special Issues in the esteemed international journal, Advances in Differential Equations and Control Processes. This journal, indexed in the Emerging Sources Citation Index (ESCI), is dedicated to publishing original research articles that contribute to the recent developments in the theory and applications of ordinary and partial differential equations, integral equations, and control theory.

The interdisciplinary nature of our journal spans across various fields, including physical, biological, environmental, and health sciences, mechanics, and engineering. We are committed to highlighting cutting-edge research that not only advances the theoretical understanding of differential equations and control processes but also applies these advancements to real-world challenges.

The upcoming Special Issue aims to bring together a collection of high-quality, innovative research that pushes the boundaries of current knowledge in these areas. We encourage submissions that address emerging trends, novel methodologies, and significant applications in differential equations and control processes.

Advances in Mathematical Modelling and Control Strategies of Infectious Diseases
edited by Muhammad Rafiq and Waheed Ahmad
submission deadline August 15, 2026
Keywords: Delay differential equations; Fractional delay differential equations; Infectious disease modeling; Optimal control; Feedback control; Stability analysis; Bifurcation; Numerical methods; Stochastic delay systems; Fractional dynamics; Vector-borne diseases; Epidemic modeling; Parameter estimation.

Advances in Fractional Special Functions to Solve Nonlinear Equations
edited by Praveen Agarwal and Shilpi Jain
submission deadline July 31, 2026
Keywords: Special functions; Fractional calculus; optimal methods; iterative methods; order of convergence; nonlinear problem; computationally efficiency; derivative-free methods; multiple zeros; Frechet-derivative; Newton-like methods; local convergence; semi-local convergence; Traub–Steffensen method; divided differences; basins of attraction; optimimum function; Mathematical modeling for science and engineering applications; Numerical analysis; Mathematical and computational engineering; Numerical methods for science and engineering applications; Optimization and control in engineering applications; Dynamical systems; Mathematical physics; Analysis of PDEs; Classical analysis and ODEs; Mathematics in engineering and sciences studies; Teaching and assessment methodologies in science and engineering; STEM and mathematics education.

Control of Power Converters in Modern Energy Systems
edited by Jingyang Fang
submission deadline 30 June 2025
Keywords: Power Converters, Power Electronics, Energy Systems

Neural Networks, Symbolic Computation, and Exact Solutions for Partial Differential Equations
edited by Runfa Zhang, Jianguo Liu and Zhongzhou Lan
submission deadline 31 August 2026
Keywords: Nonlinear science, Symbolic computation, Neural network, PDEs

Modeling, Management, and Control of Electrochemical Power Sources System for Vehicles
edited by Yangyang Ma and Pengyu Wang
submission deadline 30 June 2026
Keywords: Intelligent New Energy Vehicles, Power Batteries, Pem Fuel Cells, Management And Control

Option Pricing Dynamics Black-Scholes Model using differential equations and AI
edited by Alexey Mikhaylov
submission deadline 31 August 2025
Keywords: Lack Scholes Model, Variational Iteration Method, Variation Of Parameters Method And Lagrange Multiplier, Artificial Neural Networks, Levenberg-Marquardt Approach

Virtualization, Multiparametric Analysis, and Simulations of Dynamic Systems Operation
edited by Tibor Krenicky
submission deadline 30 September 2026
Keywords: Partial Differential Equations, Ordinary Differential Equations, Fractional Calculus, Numerical Methods, Control Theory, Optimal Control, Robust Control, Adaptive Control, Nonlinear Dynamics, Virtualization, Digital Twin, Stability Analysis, Chaos Theory, Mathematical Modeling, Machine Learning in Control, Control Systems, Data-Driven Control, Dynamical Systems, Automation and Robotics, Biological Systems Modeling, Economic and Financial Modeling

Mathematical and Computational Approaches in Biology, Environment, and Applied Physics: From Modeling to Control

edited by Mohammed Rasheed and Ahmed Shawki Jaber
submission deadline 31 October 2025
Keywords: Applied Mathematics, Numerical Analysis, Game Theory, Biomathematics, Ode, Fde, Statistics, Integral Equations, Optimal Control Theory,

Nonlinear Vibration Systems for MEMS Systems and Energy Harvesting
edited by Ji-Huan He, Piotr Skrzypacz, and Qingmei Bai
submission deadline 30 December 2025
Keywords: Nonlinear Vibration Systems, MEMS Systems, Energy Harvesting, Mathematics, Physics, Thermodynamics, Engineering Mechanics

Mathematical Analysis Advances in System Fault Analysis, Prediction and Control (Close)

edited by Tiejun Cui
submission deadline 31 December 2025
Keywords: system fault, mathematical models, intelligent methods, prediction, analysis, control

Pattern Formation and Bifurcation Analysis in Biology
edited by Appanah Rao Appadu and Hagos Gidey
submission deadline 30 June 2026
Keywords: Spatial Fractals, Partial Differential Equation, Spatial Ecology, Self-replication

Role of Mathematical Analytical Techniques in Differential Equations and Control Processes
edited by Dr. Pradip Debnath and Prof. Donal O'Regan
submission deadline 31 December 2025
Keywords: differential equation; mathematical analysis; control process; integral equation; fixed point theory; variational inequality; partial differential equation

Engineering Differential Equations: Innovations in Energy and Robotics
edited by Dr. Anwarud Din
submission deadline 30 March 2026
Keywords: engineering differential equations; energy systems modeling; robotic control and dynamics; fractional and stochastic differential equations; renewable energy optimization; multi-agent and swarm robotics; stability and bifurcation analysis; numerical methods for PDEs and ODEs; data-driven and hybrid modeling; smart grids and autonomous systems

Numerical Technique and Analytical Theory of Differential-Integral Equation and the Interdisciplinary Meanings with Applied Physics Field
edited by Dr. Shuxia Zhao
submission deadline 31 March 2026
Keywords: self-coagulation theory; fluid simulation; the differential and integral boltzmann equation; complementary role of numerics and analytics; gaseous discharge

Geometry of Bundles in Differential Equations and Control Processes: Theory, Applications, and Recent Advances
edited by Dr. Álvaro Antón-Sancho
submission deadline 30 June 2026
Keywords: Fiber Bundles, Vector Bundles, Principal Bundles, Differential Equations, Geometric Control Theory, Jet Bundles, Lie Groupoids, Gauge Theory, Variational Calculus, Poisson Geometry, Quantum Control, Differential Invariants

Modeling, Improvement, and Application of Visual Servo Control

edited by Sheng Feng
submission deadline 20 May 2026
Keywords: mathematical modeling and differential equations; visual servo control; artificial intelligence; kinematic analysis; dynamic analysis; computer vision

Data-Driven and Machine Learning Approaches in Intelligent Control

edited by Dr. Guoqiang Tan
submission deadline 12 June 2026
Keywords: intelligent control; machine learning; data-driven; industrial automation

Exploration and Research on the Application of Mathematical and Mechanical Foundations in the Frontier Fields of Energy Equipment and Intelligent Manufacturing

edited by Yang Liu
submission deadline 30 June 2026
Keywords: applied mathematics; fluid mechanics; solid mechanic; intelligent algorithms; energy engineering

Advances in Mathematical Analysis and Mathematical Modelling: Theory, Methods, Applications, Computing and Physics

edited by Prof. Dr. Ismail Ekincioglu and Dr. Abdulhamit Kucukaslan
submission deadline 31 August 2026
Keywords: differential equation; mathematical analysis; control process; integral equation; fixed point theory; variational inequality; partial differential equation; partial differential equations; ordinary differential equations; fractional calculus; numerical methods; control theory; mathematical modelling, machine learning in control, control systems; mathematics, physics

Differential Equation Modeling, Stability Analysis, and Stable Control of Grid-Connected Renewable Energy Converters

edited by Prof. Xianfu Lin
submission deadline 30 January 2027
Keywords: differential equation modeling; grid-connected converters; stability analysis; nonlinear dynamics; weak grid interaction; impedance-based stability; small/Large -signal stability; robust control; converter-dominated power systems; renewable energy integration.

Multi-Source Information Fusion Methods and System Safety Prediction

edited by Gang Wang , Jinhu Wang and Tiejun Cui
submission deadline 31 December 2026
Keywords: multi-source information fusion; system safety prediction; heterogeneous data; deep learning; uncertainty quantification; safety early warning

Theoretical Research and Technological Applications of AI

edited by Licheng Jiao, Xiaohong Zhang and Tiejun Cui
submission deadline 31 December 2026
Keywords: artificial intelligence; theoretical research; technological applications; explainable AI; smart systems

Generalized Fuzzy Structures in Decision Analysis and in Differential Equations

edited by Dr. Tahir Mahmood, Prof. Dr. Ahmed Zeeshan and Dr. Ubaid ur Rehman
submission deadline January 31, 2027
Keywords: fuzzy differential equations; fuzzy differential aggregation operators; fuzzy integral aggregation operators; fuzzy differential similarity measures; fuzzy integral similarity measures; differential fuzzy decision making methods

Early fault signals of the rolling bearing in the rotor are weak and present the characteristics of non-periodic and non-stationary; it is more difficult to carry out fault diagnosis on it. In this regard, this paper proposes a weak rolling bearing fault diagnosis algorithm based on whale optimization algorithm, simplistic geometry mode decomposition, and maximum correlated kurtosis deconvolution (WOA-SGMD-MCKD). Firstly, the vibration signal of the rotor platform is obtained, and the Symmetric Geometric Mode Decomposition (SGMD) is used to reconstruct the vibration signal. To obtain the best decomposition effect of the SGMD and overcome modal aliasing, the Whale Optimization Algorithm (WOA) is used to optimize the embedding dimension. Secondly, for the reconstructed vibration signal, the Maximum Correlated Kurtosis Deconvolution (MCKD) is used to extract its impulse component, and the WOA is used to optimize the filter length and deconvolution period of the MCKD so that the frequency envelope spectrum of the vibration signal can be obtained, which can provide the basis for the fault diagnosis of rolling bearings. Finally, the effectiveness and feasibility of the algorithm proposed are verified by a non-periodic and non-stationary simulation platform and rotor maneuvering platform in this paper.

Numerical solution of a 3D mathematical model for the progression of tumor angiogenic factor in a tissue

In this work, the movement of tumor angiogenic factor in a three-dimensional tissue is obtained by the Method of Lines. This method transforms a partial differential equation into a system of ordinary differential equations together with the initial and boundary conditions. The more the number of lines is increased, the more the accuracy of the method increases. This method results in very accurate numerical solutions for linear and non-linear problems in contrast with other existing methods. We present Matlab-generated figures, which are the movement of tumor angiogenic factor in porous medium and explain the biological importance of this progression. The computer codes are also provided.

Mathematical modelling and controllability analysis of fractional order coal mill pulverizer model

This paper investigates the controllability of nonlinear dynamical systems and their applications, with a focus on fractional-order systems and coal mill models. A novel theorem is proposed, providing sufficient conditions for controllability, including constraints on the steering operator and nonlinear perturbation bounds. The theorem establishes the existence of a contraction mapping for the nonlinear operator, enabling effective control strategies for fractional systems. The methodology is demonstrated through rigorous proof and supported by an iterative algorithm for controller design. Additionally, the controllability of a coal mill system represented as a nonlinear differential system, is analyzed. The findings present new insights into the interplay of fractional dynamics and nonlinear systems, offering practical solutions for real-world control problems.