A fractional order model that describes thermal behavior in the greenhouse was performed. Based on a good description of the soil model a fractional order greenhouse model is obtained, this model take account the change of the thermal conductivity in the soil. To make the fractional model, firstly we use the Laplace transform to remove the time terms from the soil heat conduction equation and from the energy equation for each greenhouse elements, then we resolve the obtained system of linear equations by the Gaussian elimination algorithm, to finally obtain the matrix transfer function that describes the dependency between the climatic conditions, the soil temperatures and the internal greenhouse temperature. The performances of this fractional model are illustrated by a base of experimental data.
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