Distributed-order space-time fractional diffusions in bounded domains

2022/10/08 by Ngartelbaye Guerngar, Guerngar, Ngartelbaye, James A. McCormick +1
Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #Fractional Differential Equations Solutions #Nonlinear Differential Equations Analysis #Numerical methods for differential equations #Probability (math.PR)

paper · pdf · doi:10.48550/arxiv.2210.04116

openalex publication_date 2022/10/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We provide explicit classical solutions and stochastic analogues for distributed-order space-time fractional diffusion equations on bounded domains with zero exterior boundary conditions. We also show that our results still hold when the mixing measure in the distributed-order time-derivative is singular.

Related

• Space-time fractional Dirichlet problems
• Initial-boundary value problem for distributed order time-fractional diffusion equations
• Distributed order fractional sub-diffusion
• An inverse problem for distributed order time-fractional diffusion equations
• Time-fractional diffusion of distributed order