The main objective is to investigate a new model on a nonlocal thermoelastic medium under Green-Lindsay theory with magnetic field with Hall current. The moving thermal load is applied at the outer free surface of the half-space to obtain the complete solution. The normal mode analysis method is used to get the physical fields under investigation. The distributions of the physical quantities are represented graphically and the comparisons are made among the results obtained by taking into account the different values of nonlocal parameter ϵ (= 0.195 × 10−1, 0.195 × 10−4, 0.195 × 10−9) and different value of hall current parameter m0 (= 0.05, 0.10, 0.15). We believe that the present study will help to understand the basic features of the new model for heat conduction.
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