Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
11010163 | Journal of Mathematical Analysis and Applications | 2019 | 35 Pages |
Abstract
Space-time fractional evolution equations are a powerful tool to model diffusion displaying space-time heterogeneity. We prove existence, uniqueness and stochastic representation of classical solutions for an extension of Caputo evolution equations featuring time-nonlocal initial conditions. We discuss the interpretation of the new stochastic representation. As part of the proof a new result about inhomogeneous Caputo evolution equations is proven.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Lorenzo Toniazzi,