CONFORMABLE EXPONENTIAL DICHOTOMY AND ROUGHNESS OF CONFORMABLE FRACTIONAL DIFFERENTIAL EQUATION

The solutions of traditional fractional differential equations neither satisfy group property nor generate dynamical systems, so hyperbolicity of these equations is difficult to study. Benefitting from the new proposed conformable fractional derivative, we investigate dichotomy of conformable fractional equations, including conformable exponential dichotomy and stability, roughness and nonuniform dichotomy.