19c96fd5174bda1ab184961 20210317145248762 ijaas ch.ta.yeh@gmail.com WEB-FORM International Journal of ADVANCED AND APPLIED SCIENCES Int. j. adv. appl. sci. 2313626X 23133724 6 2021 6 2021 8 6 Department of Mathematics, Faculty of Science, Northern Border University, Arar, Saudi Arabia Khamis et al. This paper deals with the modified Ohm's law, including the temperature gradient and charge density effects, and the generalized Fourier's law, including the present current density impact, the problem of conveyance of thermal stresses and temperature in a generalized Magneto–Thermo-Viscoelastic Solid Cylinder of radius L. The formulation is applied to the generalized thermoelasticity dependent on the Green-Naghdi (G-N II) hypothesis. The Laplace change system is utilized to solve the problem. At last, the outcomes got are introduced graphically to show the impact of Magnetic Field and time and on the field variables. 6 2021 6 2021 40 47 10.21833/ijaas-crossmark www.science-gate.com false IASE www.science-gate.com 10.21833/ijaas.2021.06.005 http://www.science-gate.com/IJAAS/2021/V8I6/1021833ijaas202106005.html http://science-gate.com/IJAAS/Articles/2021/2021-8-6/1021833ijaas202106005.pdf