Cosmic ray propagators in the fractional differential model of bounded anomalous diffusion

TL;DR

This paper introduces a new bounded anomalous diffusion model using fractional derivatives to better represent cosmic ray propagation, accounting for finite particle speeds and providing a novel approach in cosmic ray physics.

Contribution

The paper proposes a new fractional differential model for cosmic ray propagation that incorporates finite particle speeds through the bounded anomalous diffusion framework.

Findings

Introduces a bounded anomalous diffusion model with fractional derivatives.

Analyzes and critiques existing models in cosmic ray physics.

Provides a new equation accounting for finite particle speeds.

Abstract

Fractional differential approach to cosmic ray physics problems is discussed. A short review in this field is given, some results are represented, analyzed and criticized. A new model called the bounded anomalous diffusion model is offered. Its equation includes the fractional material derivative which allows to take into account the finite speed of cosmic rays particles.