Locally Anisotropic Interactions: III. Higher Order Anisotropic   Supergravity
  A general approach to formulation of supergravity in higher order anisotropic superspaces (containing as particular cases different supersymmetric extensions and prolongations of Riemann, Finsler, Lagrange and Kaluza--Klein spaces) is given. We analyze three models of locally anisotropic supergravity. 
Sergiu I. Vacaru