Figure 3 : The influence of the fractional parameters\(\alpha\), \(\beta\) on the stress \(\sigma_{\text{xx}}\)
From Fig 1. we observe that the variation of displacement \(u\) in all models increases with increasing the displacement \(x\) for\(0<x<0.5\) and decreasing for \(0.5<x<4\). It is evident from Fig. 1 that the amplitude of the displacement for the models (LS, 2FDPL, CTE) is bigger than that for the models (2FDPL, SFLS). Moreover, we find that the values of the displacement converge to zero at \(x\) tends to 4, which agree with the regularity boundary conditions.
Table 3 : The effect of the fractional parameters\(\alpha\), \(\beta\) on the stress \(\sigma_{\text{xx}}\)