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### A Scalar Field Cosmological Model in a Modified Theory of Gravitation

#### Abstract

This paper is devoted to the discussion of Bianchi type-III cosmological model in the frame work of

*f*(R,T) gravity in the presence of two non-interacting matter sources, scalar field (quintessence or phantom) with scalar potential and matter contribution due to*f*(R,T) action where R is the Ricci scalar and T is the trace of the energy tensor. We have solved the field equations using the fact that scalar expansion is proportional to shear scalar of the space-time and presented the scalar field model in this theory. Finally, we have also discussed some physical and kinematical properties of the model.