Fractional solution of helical motion of a charged particle under the influence of Lorentz force

In this study, a generalized solution for the helical motion of charged particle in uniform electric and magnetic fields is obtained using powerful fractional derivative approach. Using approach, differential equations that describe were obtained. The presented great detail terms series Mittag-Leffler function. Laplace transform technique was used to solve regular form (with parameter γ). Two three-dimensional plots trajectory before after introducing operator different values γ. Features delay dissipation medium have been observed too. importance our work stems from two- visualization trajectories can be applied similar types motions nature universe.