  Recently, a new formalism describing the anomalous diffusion processes, based
on the Onsager-Machlup fluctuation theory, has been suggested \cite{Smain,
Spub}. We study particles performing this new type of motion, under the action
of resetting at a constant rate, or Poissonian resetting. We derive the
mean-squared displacement and probability density function, and investigate
their dependence on the shape parameter, diffusion coefficient, potential
strength and resetting rate.
