In the past few decades of years it has attracted much attentions to the fractional differential equations due to applications in numerous seemingly diverse and widespread fields of science and engineering 1–3. It is in constant development, which is fed by ideas and results of various directions in mathematics. One of these directions is nonlinear ordinary and partial differential equations considered on the branched structures so-called metric graphs.
K. K. Sabirov (Sat,) studied this question.