An energy-saving mathematical model in the frame of conformable derivative

In the current research, some non-local singular fractional-order operators are used to model the temperature dynamics of a building. In order to analyze this model, which has a commanding place in daily situations. We utilize conformable derivative and integral of order α which 0 <α<1. Laplace transform of conformable derivative is employed for obtaining the solution of the proposed model. The fact that the aforementioned model has different non-integer parameters helps us to approach maximum energy efficiency for buildings is one of the most prominent features that makes it valuable. Moreover, in thesis simulation analysis is carried out to observe the mobility of the solution curve in line with our objective..