In this paper, the Gibbs dividing surface method was used to deduce the formula that determines the curvature dependent surface tension in a system with two phases. The well-known Tolman formula is a special case for this formula. The problem of a sessile droplet is considered. The Bashforth-Adams equation analogue, in view of the curvature dependent surface tension, is obtained and the numerical solution of the equation is carried out. It was shown that, if the droplet size is not very large compared to the thickness of the surface layer (micro- or nanodroplets), the dependence of the surface tension on the curvature is very important. In addition, a case is considered when the cylindrical nanodroplets have diameters shorter than the Tolman length.