Projectile motion via Riemann-Liouville calculus

被引：21

作者：

Ahmad, Bashir ^{[1
]}

Batarfi, Hanan ^{[1
]}

Nieto, Juan J. ^{[1
,2
]}

Otero-Zarraquinos, Oscar ^{[2
]}

Shammakh, Wafa ^{[1
]}

机构：

[1] King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah 21589, Saudi Arabia

[2] Univ Santiago de Compostela, Fac Matemat, Dept Anal Matemat, Santiago De Compostela 15782, Spain

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2015年

关键词：

projectile motion; fractional calculus; Riemann-Liouville derivative; Caputo derivative; RESISTING MEDIUM;

D O I：

10.1186/s13662-015-0400-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present an analysis of projectile motion in view of fractional calculus. We obtain the solution for the problem using the Riemann-Liouville derivative, and then we compute some features of projectile motion in the framework of Riemann-Liouville fractional calculus. We compare the solutions using Caputo derivatives and Riemann-Liouville derivatives.

引用

页码：1 / 14

页数：14

共 15 条

[11]

Rosales Garcia JJ, 2013, P ROMANIAN ACAD A, V14, P42

[12] Two dimensional fractional projectile motion in a resisting medium [J].

Rosales, Juan J. ;

Guia, Manuel ;

Gomez, Francisco ;

Aguilar, Flor ;

Martinez, Juan .

CENTRAL EUROPEAN JOURNAL OF PHYSICS, 2014, 12 (07) :517-520

[13]

Samko S.G., 1993, Fractional Integrals and Derivatives. Theory and Applications

[14]

Trujillo J.J., 2006, N HOLLAND MATH STUDI, V204

[15]

Yang X.J., 2012, Advanced Local Fractional Calculus and its Applications, DOI DOI 10.1088/1751-8113/42/19/195202

← 1 2 →