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An SiO_2 aerogel with absorbed deuterium is suggested as a target for the fusion reaction d+d → He^3+n by a super-intense ultrashort laser pulse. The multiple inner ionization of oxygen and silicon atoms in the fibers of this fractal aerogel takes place in super-intense laser field. The Coulomb explosion of the deuterated aerogel skeleton propels deuterons up to kinetic energies of ten keV and higher. The neutron yield is estimated up to 10^5 neutrons per laser pulse during≈500 ps if the peak intensity is 10^{18} W/cm^2 and pulse duration is 35 fs.
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