Regularity of solutions to time fractional diffusion equations

TL;DR

This paper establishes regularity estimates for solutions to time fractional diffusion equations, aiding numerical analysis and revealing the singularity structure in the time variable.

Contribution

It provides new regularity estimates and insights into the singularity structure of solutions to time fractional diffusion equations.

Findings

Regularity estimates for solutions derived.

Partial understanding of solution singularities in time.

Results useful for improving numerical methods.

Abstract

We derive some regularity estimates of the solution to a time fractional diffusion equation, that are useful for numerical analysis, and partially unravel the singularity structure of the solution with respect to the time variable.