Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1703177 | Applied Mathematical Modelling | 2015 | 7 Pages |
Abstract
A new approach for modeling the equations that govern the motion of a projectile in a uniform gravitational field is presented. In this study, the fractional derivatives and quadratic-drag term are introduced to make the model more realistic. The formulated mathematical model is non-linear coupled fractional-order system where fractional derivatives are in Caputo sense. These equations are analytically solved by using the recently modified fractional differential transform method. The results obtained from a numerical case study are compared to those of the corresponding integer-order model.
Keywords
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
A.M.A. El-Sayed, H.M. Nour, W.E. Raslan, E.S. El-Shazly,