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We introduce new fractional operators of variable order on isolated time scales with Mittag-Leffler kernels. This allows a general formulation of a class of fractional variational problems involving variable-order difference operators. Main results give fractional integration by parts formulas and necessary optimality conditions of Euler-Lagrange type.Keywords: fractional calculus on isolated time scales; variable order operators with Mittag-Leffler kernels; fractional sums and differences of variable order; summation by parts; variational principles on isolated time scales. MSC 2010: 26A33; 26E70; 49K05. * This is a preprint of a paper whose final and definite form is with Springer, as a chapter book.