Deadline Date: 28 February 2026
Fractional equations have gained significant attention in recent years due to their ability to model complex phenomena in various fields of engineering, such as mechanical, electrical, and civil engineering. These can describe non-local and non-integer order behavior of systems. It is not often possible to solve such engineering problem analytically so numerical methods have become essential tools for approximating solutions.
The aim of numerical methods for fractional equations in engineering is to develop and apply efficient and accurate numerical techniques to solve fractional equations that model complex phenomena in various fields of engineering. The scope of these methods is to provide a framework for simulating, analyzing, and optimizing systems that exhibit non-integer order behavior, including: viscoelastic materials, electrical circuits, control systems, stochastic processes, heat transfer, etc.
The primary objectives of numerical methods for fractional equations in engineering are:
1. Numerical Solution
To develop numerical methods that can solve fractional equations.
2. Efficient Computation
To design numerical methods that are computationally efficient, scalable, and can handle large-scale problems.
3. Interdisciplinary Applications
To apply numerical methods for fractional equations to a wide range of engineering disciplines, including mechanical, electrical, civil, and aerospace engineering.
The scope of numerical methods for fractional equations in engineering includes, but is not limited to:
1. Modeling and Simulation
2. Optimization and Control
3. Data Analysis and Interpretation
The key challenges in achieving the aim and scope of numerical methods for fractional equations in engineering include:
1. Handling the mathematical complexity of fractional equations, including the lack of analytical solutions and the need for numerical approximations.
2. Developing numerical methods that are computationally efficient and can handle large-scale problems.
3. Collaborating with experts from various engineering disciplines to develop and apply numerical methods for fractional equations.
Suggested themes shall be listed.
- fractional calculus in theoretical physics and mechanics
- mathematical modeling of media with memory
- viscoelastic models with fractional order operators
Fractional equations have gained significant attention in recent years due to their ability to model complex phenomena in various fields of engineering, such as mechanical, electrical, and civil engineering. These can describe non-local and non-integer order behavior of systems. It is not often possible to solve such engineering problem analytically so numerical methods have become essential tools for approximating solutions.
Editorial board
