Modeling the Dependence of Barometric Pressure with Altitude Using Caputo and Caputo–Fabrizio Fractional Derivatives

Joint Authors

Awadalla, Muath
Yannick, Yves Yameni Noupoue
Asbeh, Kinda Abu

Source

Journal of Mathematics

Issue

Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-9, 9 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2020-11-25

Country of Publication

Egypt

No. of Pages

9

Main Subjects

Mathematics

Abstract EN

This work is dedicated to the study of the relationship between altitude and barometric atmospheric pressure.

There is a consistent literature on this relationship, out of which an ordinary differential equation with initial value problems is often used for modeling.

Here, we proposed a new modeling technique of the relationship using Caputo and Caputo–Fabrizio fractional differential equations.

First, the proposed model is proven well-defined through existence and uniqueness of its solution.

Caputo–Fabrizio fractional derivative is the main tool used throughout the proof.

Then, follow experimental study using real world dataset.

The experiment has revealed that the Caputo fractional derivative is the most appropriate tool for fitting the model, since it has produced the smallest error rate of 1.74% corresponding to the fractional order of derivative α = 1.005.

Caputo–Fabrizio was the second best since it yielded an error rate value of 1.97% for a fractional order of derivative α = 1.042, and finally the classical method produced an error rate of 4.36%.

American Psychological Association (APA)

Awadalla, Muath& Yannick, Yves Yameni Noupoue& Asbeh, Kinda Abu. 2020. Modeling the Dependence of Barometric Pressure with Altitude Using Caputo and Caputo–Fabrizio Fractional Derivatives. Journal of Mathematics،Vol. 2020, no. 2020, pp.1-9.
https://search.emarefa.net/detail/BIM-1188012

Modern Language Association (MLA)

Awadalla, Muath…[et al.]. Modeling the Dependence of Barometric Pressure with Altitude Using Caputo and Caputo–Fabrizio Fractional Derivatives. Journal of Mathematics No. 2020 (2020), pp.1-9.
https://search.emarefa.net/detail/BIM-1188012

American Medical Association (AMA)

Awadalla, Muath& Yannick, Yves Yameni Noupoue& Asbeh, Kinda Abu. Modeling the Dependence of Barometric Pressure with Altitude Using Caputo and Caputo–Fabrizio Fractional Derivatives. Journal of Mathematics. 2020. Vol. 2020, no. 2020, pp.1-9.
https://search.emarefa.net/detail/BIM-1188012

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1188012