Recent Advances in Fractional Differential Equations and Their Applications

Dear Colleagues,

Fractional differential equations can describe the dynamic systems of  complex and non-local systems with memory. They can be developed from stochastic dynamical systems that are driven by non-Gaussian Levy noise that has long tails and bursting sample routes. They appear in a wide variety of scientific and engineering sectors, including physics, biology, economics, and chemical engineering. In general, because of memory and nonlocality, it is frequently challenging to find analytical solutions. Finding effective strategies for numerically solving fractional differential equations thus becomes a pressing issue.

In light of the aforementioned regarding the significance of numerical methods and analysis, potential topics for this Special Issue include but are not limited to the following:

• New numerical methods for time fractional differential equations;
• New numerical methods for space fractional (nonlocal) differential equations;
• The relationship between stochastic differential equation and nonlocal differential equations;
• Regularity estimate and homogenization for nonlocal differential equations;
• Application of stochastic dynamics and fractional models;
• Fractional-order theory.

Dr. Xiaoli Chen
Prof. Dr. Dongfang Li
Guest Editors

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