Nonlocal Boundary Value Problems for Hilfer Generalized Proportional Fractional Differential Equations

In this paper, we discuss the existence and uniqueness of solutions for boundary value problems Hilfer generalized proportional fractional differential equations with multi-point conditions. Firstly, consider scalar case which result is proved by using Banach’s fixed point theorem results are established via Krasnosel’skiĭ’s Leray–Schauder nonlinear alternative. We then establish an in Banach space based on Mönch’s technique measure noncompactness. Examples constructed to illustrate application main results. emphasize that, initiate study order (1, 2].