Comment on “Transverse vibration analysis of single-layered graphene sheet under magneto-thermal environment based on non-local plate theory [J. Appl. Phys. 116(16), 164303 (2014)]” and “Nonlocal elasticity based magnetic field affected vibration response of double single-walled carbon nanotube systems [J. Appl. Phys. 111(11), 113511 (2012)]”

The impact of a time-varying external magnetic field on carbon nanotubes has been studied using Maxwell’s equations in the mentioned articles. However, the Maxwell’s equations are erroneously presented in the papers. The incorrect Maxwell’s equations, their derivatives, and the Lorentz force equations have all been examined in this work. In this article, we have endeavored to ensure that the equations are formatted correctly and have made an effort to do so. We have made an effort to intuitively correct the equations’ errors. We did not comment on the other portions of the mentioned articles; instead, we restricted ourselves to the examination of the impact of Maxwell’s equations and Lorentz force equations.