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\begin{align*}
D(\varphi F_{n},\varphi F) \leq & \\
                                                     & \frac{\Vert (T-s)^{\alpha -1}\Vert _{L^{\frac{m_{1}}{m_{1}-\alpha }}([0,T])}}{\Gamma (\alpha )}(\int
                                                        _{0}^{T}\rho _{n}\frac{m_{1}}{\alpha }(s)ds)^{\frac{\alpha }{m_{1}}}}\\    
                                                     & + \frac{\Vert (T-s)^{\beta -1}\Vert _{L^{\frac{m_{2}}{m_{2}-\beta }}([0,T])}}{\Gamma (\beta )}(\int 
                                                        _{0}^{T}\rho _{n}^{\prime }\frac{m_{2} }{\beta }(s)ds)^{\frac{\beta }{m_{2}}}}\\
                                                     & \longrightarrow 0\\
\end{align*}
\end{document}