# Fractional Diffusion Models for the Atmosphere of Mars

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## Abstract

**:**

## 1. Introduction

## 2. Some Tools of Fractional Calculus

**Definition**

**1.**

**Definition**

**2.**

**Definition**

**3.**

**Definition**

**4.**

**Property**

**1.**

## 3. Classical and Time-Fractional Diffusion Processes

## 4. Wavelength-Fractional Diffusion Model

#### 4.1. 3D Diffusion Model

#### 4.1.1. Radial Symmetry Case

## 5. Numerical Methods

#### 5.1. Diethelm Representation

#### 5.2. Odibat Representation

## 6. Conclusions

## Acknowledgments

## Author Contributions

## Conflicts of Interest

## References

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## Share and Cite

**MDPI and ACS Style**

Jiménez, S.; Usero, D.; Vázquez, L.; Velasco, M.P.
Fractional Diffusion Models for the Atmosphere of Mars. *Fractal Fract.* **2018**, *2*, 1.
https://doi.org/10.3390/fractalfract2010001

**AMA Style**

Jiménez S, Usero D, Vázquez L, Velasco MP.
Fractional Diffusion Models for the Atmosphere of Mars. *Fractal and Fractional*. 2018; 2(1):1.
https://doi.org/10.3390/fractalfract2010001

**Chicago/Turabian Style**

Jiménez, Salvador, David Usero, Luis Vázquez, and Maria Pilar Velasco.
2018. "Fractional Diffusion Models for the Atmosphere of Mars" *Fractal and Fractional* 2, no. 1: 1.
https://doi.org/10.3390/fractalfract2010001