Investigations of the effects of ground deformation due to fault movement on surface and subsurface engineering structures
are important owing to their direct impact on the reduction of earthquake damage. This ground deformation has a great impact on displacement and stress-strain accumulation due to fault movement. In this study, a theoretical model of aseismically creeping, interacting, inclined, buried and strike-slip fault has been considered and the fault model located in a visco-elastic half-space of Maxwell medium. The analytical solution of displacement, stress and strain components in the absence of fault movement and due to interaction between the faults has been obtained by using the correspondence principle in terms of Mittag-Leffler function and Green's function. The obtained results has been studied graphically which may helps us to study earthquake prediction program.