2013/02/12 by Won Sang Chung, Min Jung
Computer Science · Mathematics · Physics and Astronomy · #Contact Mechanics and Variational Inequalities #Derivative (finance) #Fractional Differential Equations Solutions #Fractional calculus #Motion (physics) #Nonlinear Differential Equations Analysis #Order (exchange) #Time derivative #physics.gen-ph
paper · pdf · doi:10.3938/jkps.64.186
arxiv created 2013/02/12 · openalex publication_date 2014/01/01 · arxiv updated 2015/06/15 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
In this paper, we use fractional calculus to discuss fractional mechanics, where the time derivative is replaced with the fractional derivative of order ν . We deal with the motion of a body in a resisting medium where the retarding force is assumed to be proportional to the fractional velocity that is obtained by applying the fractional derivative to the position. The fractional oscillator problem, the fractional oscillator problem with resistance and the fractional forced oscillator problem are also studied