Variable order Mittag-Leffler fractional operators on isolated time scales and application to the calculus of variations
arXiv:1809.02029 · doi:10.1007/978-3-030-11662-0_3
Abstract
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.
This is a preprint of a paper whose final and definite form is with Springer