7.2 The effect of the external body force on the physical fields

This section is devoted to discussing how the existence of the body force acts on the field variables under the fractional modified model with two parameters and phase lags (2FDPL). Here, without the external force, we put \(F_{x}=0\ \) and with the external force we take\(F_{x}>0\ \). Furthermore, the other parameters such as\(\text{\ τ}_{q}\) and\(\ \tau_{\theta}\) remain constants (\(\tau_{q}=0.05\) and \(\tau_{\theta}=0.03\)) together with the fractional parameters \((\alpha=0.75\) and \(\ \ \beta=0.75)\). Finally, the obtained results are graphically illustrated in the following figure.