Existence and Monotone Iterative Approximation of Solutions for Neutral Differential Equations with Generalized Fractional Derivatives

We study the existence and monotone iterative approximation of mild solutions fractional-order neutral differential equations involving a generalized fractional derivative order 0 < α 1 which can be reduced to Riemann–Liouville or Hadamard derivatives. The is obtained via fixed point techniques in partially ordered space. approach constructive applied numerically. In particular, we construct sequence functions converging solution illustrated by numerical example.