Manuscript Topics

In the last few decades, the application of fractional calculus to real-world problems grew rapidly, in which the use of dynamical systems described by fractional differential equations (FDEs) had been one of the ways to understand complex materials and processes. Due to the power to model the non-locality, memory, spatial heterogeneity and anomalous diffusion inherent in many real-world problems, the application of fractional differential equations has been attracting much attention in many fields of science and is still under development. However, generally, the fractional mathematical models from science and engineering are so complex that analytical solutions are not available. Therefore, the numerical solution has been an effective tool to deal with fractional mathematical models.

This Special Issue aims to promote the communication between researchers and practitioners on the application of fractional calculus, present the latest development of fractional differential equations, report state-of-the-art and in-progress numerical methods and discuss future trends and challenges. We cordially invite you to contribute by submitting original research articles or comprehensive review papers. This Special Issue will cover the following topics, but are not limited to:
• Mathematical modelling of fractional dynamic systems.
• Numerical methods to solve fractional differential equations, e.g., the finite difference method, the finite element method, the finite volume method, the spectral method, etc.
• Numerical analysis for the numerical scheme.
• Applications of fractional calculus in physics, biology, chemistry, finance, signal and image processing, hydrology, non-Newtonian fluids, etc.

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