Figure 2: The influence of the fractional parameters\(\alpha\), \(\beta\) on the displacement \(u\)
Fig 1. depicts that the variation of temperature \(\theta\) in all models increases with increasing the distance \(x\) for \(0<x<0.5\)and decreasing over \(0.5<x<4\). Also, we conclude that the maximum point of the temperature curve for the models (LS, 2FDPL (\(\alpha=0.75,\ \beta=0.40\)), CTE) is bigger than that for the model (SFLS). It is manifested from the figure that the values of the temperature converge to zero when the displacement \(x\) tends to 4, which agree with the regularity boundary conditions.
Table 2: The effect of the fractional parameters \(\alpha\),\(\beta\) on the displacement \(u\)