Oscillation of impulsive conformable fractional differential equations

In this paper, we investigate oscillation results for the solutions of impulsive conformable fractional differential equations of the form t k D α p t t k D α x t + r t x t + q t x t = 0 , t ≥ t 0 , t ≠ t k , x t k + = a k x ( t k − ) , t k D α x t k + = b k t k − 1 D α x ( t k − ) , k = 1 , 2 , … . $$\{ {array}{l} {t_k}{D^α }( {p( t )[ {{t_k}{D^α }x( t ) + r( t )x( t )} ]} ) + q( t )x( t ) = 0, t ≥ {t_0},\;t ≠ {t_k},\\ x( {t_k^ + } ) = {a_k}x(t_k^ - ), {t_k}{D^α }x( {t_k^ + } ) = {b_{k\;{tk - 1}}}{D^α }x(t_k^ - ), \;k = 1,2, …. {array} .$$ Some new oscillation results are obtained by using the equivalence transformation and the associated Riccati techniques.