  In this paper, we used some theorems of fixed point for studying the results
of existence and uniqueness for Hilfer-Hadamard-Type fractional differential
equations, \[_{H}D^{\alpha,\beta}x(t)+f(t,x(t))=0, \hbox{ on the interval }
J:=(1,e]\] with nonlinear boundary value problems
\[x(1+\epsilon)=\sum_{i=1}^{n-2}\nu_{i}x(\zeta_{i}),
\quad\quad\quad~_{H}D^{1,1}x(e) = \sum_{i=1}^{n-2} \sigma_i~_{H}
D^{1,1}x(\zeta_{i})\]
