In this study, the effect of fractional derivatives on curves, whose application area is increasing day by day, investigated. While investigating effect, conformable derivative, which best suits algebraic structure differential geometry, selected. As a result, many special curves and Frenet frame previously obtained using classical have been redefined with help derivatives.

We introduce the conformable fractional (CF) noninstantaneous impulsive stochastic evolution equations with Brownian motion (fBm) and Poisson jumps. The approximate controllability for considered problem was investigated. Principles concepts from calculus, analysis, fixed-point theorem were used to support main results. An example is applied show established

Lyapunov type integral inequality is one of the important inequalities in qualitative analysis differential equations. In this paper, using properties conformable derivatives and integral, solution initial value problem for fractional equation, some new higher order nonlinear Hamiltonian systems are obtained, which improve unify known results literatures.