Special Session 33: Modeling and Data Analysis for Complex Systems and Dynamics

Logarithmic asymptotics in fractional evolution equation: analysis and computation

Changpin Li
Shanghai University
Peoples Rep of China
Co-Author(s):    
Abstract:
The so-called logarithmic asymptotics indicates that the solution to the differential equation has algebraic asymptotics in the sense of logarithmic function. It is often used to characterize the ultra slow process, such as creep in igneous rocks. In this talk, we mainly introduce the logarithmic asymptotics and regularity of the solution to the Caputo-Hadamard fractional evolution equation. Based on these theoretical analysis, we construct the reliable numerical algorithms to numerically solve it.