Fractional Newton mechanics with conformable fractional derivative

[摘要] In this paper we use the conformable fractional derivative and integral to discuss the fractional Newtonian mechanics. The fractional version of the calculus of variations is introduced and the fractional Euler-Lagrange equation is constructed. Some mechanical problems such as fractional harmonic oscillator problem, the fractional damped oscillator problem and the forced oscillator problem are discussed in the one-dimensional fractional dynamics. (C) 2015 Published by Elsevier B.V.

[发布日期] 2015-12-15

[关键词] Conformable fractional derivative;Conformable fractional integral;Fractional dynamics