This refers to Derivatives of exendin-4 and their use in Medicine, for example, in the treatment of Metabolic Disorders including Diabetes and obesity, as well as reduction of excessive intake of food.Claim 1: Peptide Compound with the formula (1): r\u00b9 R\u00b2 - Z - (1) where z is a Peptide which has the formula (2): X - AIB - Tyr THR Gly Phe - Thr - - - - - - be x\u00b9\u00b2 ASP Leu GLN x\u00b9\u2074 - x\u00b9\u2075 x\u00b9\u2076 x\u00b9\u2077 x\u00b9\u2078 - - - - - - - x\u00b9\u2079 x\u00b2\u2070 x\u00b2\u00b9 PHE ile Glu - Trp - Leu Lys - x\u00b2\u2078 - x\u00b2\u2079 Gly pro - R - ala Gly Pro Pro Pro ser - x\u2074\u2070 (2) x represents an amino acid selected from rest of GLNGlu and his Rest x\u00b9\u00b2 represents an amino acid selected from Lys ile and rest x\u00b9\u2074 represents an amino acid with a side chain that has a group of - nh\u2082, where the side chain - Group nh\u2082 is functionalized with - C (o) - r\u2075, where r\u2075 can be a rest... Thus up to 50 or even 100 carbon Atoms and optionally hetero Atoms selected from Halogen, N, or,S and \/ or P x\u00b9\u2075 represents a rest of selected amino acid between ASP and Glu x\u00b9\u2076 represents an amino acid selected from rest of Lys, glu, GLN and rest x\u00b9\u2077 represents an amino acid selected from Arg, Lys, glu, GLN, LEU, AIB,Tyr and Wing x\u00b9\u2078 represents a rest of selected amino acid between ala and ARG x\u00b9\u2079 represents a rest of selected amino acid ala and Val rest of x\u00b2\u2070 represents an amino acid selected from GLN, AIB, Lys and his Rest x\u00b2\u00b9 represents an amino acid selected from ASP.Glu and leu x\u00b2\u2078 represents an amino acid selected from rest of ASN ala and rest x\u00b2\u2079 represents an amino acid selected from THR Gly, ala and D x\u2074\u2070 is absent or is r\u00b9 represents nh\u2082 Lys R\u00b2 group represents the c-terminal Peptide compound and select Between Oh and nh\u2082 or a Salt or solvate thereof.La presente se refiere