Projectile motion via Riemann-Liouville calculus

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• 作者：Bashir Ahmad (1)
  Hanan Batarfi (1)
  Juan J Nieto (1) (2)
  脫scar Otero-Zarraqui帽os (2)
  Wafa Shammakh (1)
  
  1. Department of Mathematics ; Faculty of Science ; King Abdulaziz University ; P.O. Box 80203 ; Jeddah ; 21589 ; Saudi Arabia
  2. Departamento de An谩lisis Matem谩tico ; Facultad de Matem谩ticas ; Universidad de Santiago de Compostela ; Santiago de Compostela ; 15782 ; Spain
  
• 关键词：70B05 ; 34A08 ; projectile motion ; fractional calculus ; Riemann ; Liouville derivative ; Caputo derivative
• 刊名：Advances in Difference Equations
• 出版年：2015
• 出版时间：December 2015
• 年：2015
• 卷：2015
• 期：1
• 全文大小：1,588 KB
• 参考文献：1. Ebaid, A (2011) Analysis of projectile motion in view of fractional calculus. Appl. Math. Model. 35: pp. 1231-1239 CrossRef
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  5. Baleanu, D, Guvenc, ZB, Machado, JAT (2010) New Trends in Nanotechnology and Fractional Calculus Applications. Springer, New York CrossRef
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  14. Hayen, JC (2003) Projectile motion in a resistant medium. Part 1: exact solution and properties. Int. J. Non-Linear Mech. 38: pp. 357-369 CrossRef
  15. Hayen, JC (2003) Projectile motion in a resistant medium. Part 2: approximate solution and estimates. Int. J. Non-Linear Mech. 38: pp. 371-380 CrossRef
  
• 刊物主题：Difference and Functional Equations; Mathematics, general; Analysis; Functional Analysis; Ordinary Differential Equations; Partial Differential Equations;
• 出版者：Springer International Publishing
• ISSN：1687-1847

文摘

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.