Motion Of A Body In A Resisting Medium Using Fractional Calculus Approach
Journal Title: International Journal of Innovative Research & Growth - Year 2018, Vol 7, Issue 1
Abstract
Abstract In this manuscript we propose a fractional differential equation to describe the vertical motion of a body through the air. To keep the dimensionality of the physical parameter in the system, an auxiliary parameter σ is introduced. This parameter characterizes the existence of fractional components in the given system. We prove that there is a relation between γ and σ through the physical parameter of the system and that, due to this relation the analytical solutions are given in terms of the generalized Mittag-Leffler function depending on the order of the fractional differential equation.
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- EP ID EP620437
- DOI 10.26671/IJIRG.2018.1.7.102
- Views 177
- Downloads 0
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