  In this paper, we will analyse a supersymmetric field theory deformed by
generalized uncertainty principle and Lifshitz scaling. It will be observed
that this deformed supersymmetric field theory contains non-local fractional
derivative terms. In order to construct such deformed N=1 supersymmetric
theory, a harmonic extension of functions will be used. However, the
supersymmetry will be only preserved for a free theory and will be broken by
the inclusion of interaction terms.
