Projectile motion via Riemann-Liouville calculus

Advances in Difference Equations

scar Otero-Zarraquios¹  Juan J Nieto²  Bashir Ahmad²  Hanan Batarfi²  Wafa Shammakh³ 

[1] Departamento de AnáDepartment of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia;lisis Matemáticas, Universidad de Santiago de Compostela, Santiago de Compostela, Spain;tico, Facultad de Matemá

关键词: projectile motion;    fractional calculus;    Riemann-Liouville derivative;    Caputo derivative;    70B05;    34A08;   

DOI  :  10.1186/s13662-015-0400-3

学科分类：数学（综合）

来源: SpringerOpen

【 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.

【 授权许可】

CC BY