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This article discusses changes in heat transfer resulting from laser pulses and magnetic fields produced in thermoelastic materials under initial stress. This paper introduces a novel approach to modeling generalized thermoelastic materials by including fractional time derivatives with Eringen's non‐local thermoelastic theory. This model incorporates both the Caputo–Fabrizio and the Atangana–Baleanu derivatives, which are novel forms of fractional derivatives in the domain of fractional calculus. Analytical formulations for system variables, such as temperature and thermal stress, were derived using the Laplace transform method. This was done considering the effects of laser pulses, non‐local actuators, and fractional actuators. The findings of these investigations are showcased through numerical illustrations and visual representations. The research also included comparisons between the acquired results and those derived from earlier theories, which may be regarded as a specific instance. Validating the suggested model and showing its correctness and applicability is seen as a crucial step. [ABSTRACT FROM AUTHOR]

The class of hidden Minkowski matrices is characterized using the condition of the n x 2n matrix Y = (Z (sub 2)(super t), Z (sub 1)(super t)), where n is an order and Z is a real square matrix whose off-diagonal entries are nonpositive. This leads to the introduction of two types of hidden Minkowski matrices. A condition under which a hidden Z-matrix will have all its principal minors nonnegative is also considered.