Physicomathematical models are proposed to describe the ignition of hydrogen/silane/air mixtures in the presence of solid inert particles. The ignition delay times of hydrogen/silane/air mixtures with SiO2 particles with diameters of 100 nm, 1 and 10 μm were calculated. The influence of the diameter and volume concentration of inert particles on the ignition delay times of silane-hydrogen-air mixtures was revealed. It was shown that the decrease in the diameter and the increase in the volume concentration of particles leads to the increase in the ignition delay time of the mixture. The limiting ignition temperatures of the mixture were calculated. It was determined that the smaller the particle diameter and the greater their volume concentration, the higher the limiting ignition temperatures of the mixtures. The effect of the type of particles on the limiting ignition temperature of the mixtures was shown. It was found that the specific surface area of microparticles with diameters of 1 and 10 μm, preventing the ignition of mixtures, is almost the same, while the specific surface area of nanoparticles with diameters of 100 nm required to prevent the ignition of the mixture is about 10 times larger than that of microparticles.