[en] The solution of the heat conduction equation in derivatives of fractional order with the account of diffuse and convective mechanisms of heat transfer is provided. The dependence of the temperature distribution on the rates of derivatives of fractional order by time and coordinate is studied

[en] It is studied the effect of gamma-irradiation and various dosages of chlorosulfonated polyethylene and polyester resin on technological and electro-physical properties of mixtures. Comparative evaluation of the properties was conducted according to the following criteria: flexibility, strength, molecular weight, and dielectric properties. The main indicators of the electrical properties of vulcanizates are specific volumetric resistance, dielectric loss, dielectric constant and dielectric strength

[en] Highlights: • Molybdenum state equation with account of size and shape was calculated. • Melting temperature isobaric dependence on size and shape was obtained. • Size dependence of the crystallization start temperature was obtained. -- Abstract: Using the nanocrystal RP-model, the state equation of the bcc molybdenum with account of size and shape was calculated. On the basis of this equation the isobaric dependence of the melting temperature on size and shape was obtained at P = 0. It is shown, that the stronger the shape of a nanocrystal deviates from the most energetically effective one, the bigger the size of the nanocrystal at the crystallization start point. Approximation of such points for various shapes made it possible to determine the size dependence of crystallization start temperature.