Abstract
In this paper, a fractional supertrace identity on superalgebras is presented. Based on the fractional supertrace identity, we can construct fractional super Hamiltonian structures of the generalized zero curvature equations associated with Lie superalgebras. As an application, we get the fractional super Ablowitz-Kaup-Newell-Segur (AKNS) hierarchy and its super Hamiltonian structure by using of fractional supertrace identity. This method can be used to get more fractional super hierarchies.
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