Recent Advances in Theoretical and Numerical Analysis for Fractional and Integral Differential Equations

Dear Colleagues,

Fractional differential equations and integral differential equations have attracted a great amount of attention in recent years. They widely appear in applied mathematics, physics, biology, chemistry and other disciplines. The typical models include sub-diffusion equations, diffusion-wave equations, space-fractional differential equations, and so on. It is usually difficult to obtain analytical solutions, due to the integral terms in the models. Fortunately, the evolution of differential equations can be well described by using some well-designed and high-order numerical schemes. Therefore, it has become a hot topic to numerically solve and analyze the equations.

In light of the aforementioned points regarding the significance of theoretical and numerical analysis, the potential topics include, but are not limited to, the following:

• New theoretical results for fractional differential equations and integral differential equations;
• New numerical methods for solving fractional differential equations;
• New numerical methods for solving integral differential equations;
• New numerical methods for solving non-local problems;
• Numerical analysis of the numerical methods;
• Application of fractional differential equations.

Prof. Dr. Dongfang Li
Dr. Hongyu Qin
Guest Editors

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