Solution of a sample of thermodynamic systems equipped with fractional stochastic operator illustrated by applications

Simulations play a crucial role in physics for several reasons. First, they enable the examination and analysis of complex systems and phenomena that are difficult or impossible to observe directly, such as the behavior of subatomic particles in quantum mechanics or the dynamics of galaxies in astrophysics. Second, simulations allow scientists to predict experimental results and test theories in a controlled virtual environment. In this work, our contribution is the study of certain thermodynamic phenomena in physics modeled by stochastic differential equations. This study enables us to apply stochastic approaches to simulate and estimate parameters within our equations. By combining simulations with advanced stochastic techniques, we can gain a better understanding of the dynamic behaviors of complex thermodynamic systems and improve the accuracy of our models. This integration of simulation and stochastic modeling opens new perspectives for thermodynamics research and provides powerful tools for exploring the properties of physical systems under various conditions.