Fractional Calculus, Symmetry Phenomenon and Probability Theory for PDEs, and ODEs

Dear Colleagues,

This topic aims to delve into the frontier research of fractional calculus, symmetry phenomenon, probability theory, and fractional differential equations. Fractional calculus, as an essential branch of modern mathematics, provides powerful tools for modeling and analyzing complex systems. Fractional differential equations have widespread applications in physics, engineering, and other fields. This topic will gather the latest research achievements in this area, promote academic exchange and cooperation, and drive the development of fractional calculus and fractional differential equations in both theory and application. Potential topics include but are not limited to the following:

• Stability analysis of fractional partial differential equations in infinite dimensional dynamical systems;
• Bifurcation phenomena in fractional partial differential equations within infinite dimensional dynamical systems;
• Fractional stochastic partial differential equations for complex real-world problems;
• Applications of fractional calculus in physical modeling;
• Recent advances in complex system analysis using fractional differential equations;
• Cross-research between fractional calculus and nonlinear science;
• Explorations in the application of fractional calculus in signal and image processing.

Prof. Dr. Renhai Wang
Prof. Dr. Junesang Choi
Topic Editors