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- Fractional Herglotz variational problems of variable orderPublication . Tavares, Dina; Almeida, Ricardo; Torres, Delfim F. M.We study fractional variational problems of Herglotz type of variable order. Necessary optimality conditions, described by fractional differential equations depending on a combined Caputo fractional derivative of variable order, are proved. Two different cases are considered: the fundamental problem, with one independent variable, and the general case, with several independent variables. We end with some illustrative examples of the results of the paper.