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### Bianchi Type III String Cosmological Model in f(R,T) Modified Gravity Theory

#### Abstract

We have analyzed Bianchi type III string cosmological model in

*f*(*R*,*T*) modified theory of gravity, where the gravitational Lagrangian is given by an arbitrary function of Ricci Scalar*R*and the trace of the tress-energy momentum tensor*T*, by consider*f(R,T)*=*R*+ 2*f*(*T*). To solve*f*(*R*,*T*) modified field equations by using shear scalar (σ) proportional to expansion scalar (θ). We also discuss Hubble's parameter in terms of redshift, luminosity distance modulus and jerk parameter and observe that our solutions favor recent cosmological observations. The physical and geometrical properties of the model have been discussed.