Lipidated neuropeptides PrRP31, PrRP20, containing C14 to C16 fatty acid, and their analogs, wherein a sequence of IRPVGRF-NH2 at the C-terminus is variable in the site of isoleucine, valine and phenylalanine； said fatty acid is bound in position 1 or 11 for PrRP31 or its analog and in position 1 or 7 for PrRP20 or its analog； the bond comprises an amide bond between an amino acid having at least one free NH2 group and a carboxylic group of the fatty acid and alternatively includes also a binding through arm X2, which is a hydrophilic linker selected from a group comprising β-alanine, γ-aminobutyric acid or γ-glutamic acid； for use in the treatment and prevention of diseases, which are Alzheimer's disease (AD), Parkinson's disease (PD), cognitive impairment no dementia (CIND), brain trauma, and neurodegenerative changes and disorders.
