Effects due to two temperature and hall current in a nonlocal isotropic magneto-thermoelastic solid with memory dependent derivatives

The paper is devoted to the study of thermomechanical interactions in a homogeneous nonlocal magneto-thermoelastic rotatingmediumunder the effect of hall current and two temperaturewithmemory dependent derivatives.Atwo-dimensionalmodel has been assumed. Laplace and Fourier transforms have been used to find the solution to the problemin transformed domain. The analytical expressions of components of displacement, stress and current density and conductive temperature are obtained in the transformed domain. Numerical inversion technique has been applied to obtain the results in the physical domain and the results are depicted graphically to show the effect of nonlocal parameter on the components of displacements, stresses, current density and conductive temperature. The effect of nonlocal parameter and hall current parameter has been represented graphically by taking different values.