Remarks on boundary layers in singularly perturbed Caputo fractional boundary value problems

TL;DR

This paper explores the boundary layer structures in solutions to singularly perturbed Caputo fractional boundary value problems, focusing on convection-diffusion and reaction-diffusion cases, an area with limited existing knowledge.

Contribution

It provides initial insights into the layer structures of these fractional problems, addressing a gap in understanding of their solution behaviors.

Findings

Identification of boundary layer characteristics in fractional problems

Analysis of simple convection-diffusion and reaction-diffusion models

Highlighting the lack of existing knowledge in this area

Abstract

Almost nothing is known about the layer structure of solutions to singularly perturbed Caputo fractional boundary value problems. We discuss simple convection-diffusion and reaction-diffusion problems.