Existence and uniqueness for ψ‐Hilfer fractional differential equation with nonlocal multi‐point condition

In this paper, we study and investigate the ψ −Hilfer fractional differential equation with nonlocal multi‐point condition of the form: where , , i =1,2,..., m , − ∞ < a < b < ∞ , is the ψ − Hilfer fractional derivative, is a continuous function, and is the ψ ‐Riemann‐Liouville fractional integral of order 1− r . By using Schaefer's and Banach fixed point theorems, we prove the existence, uniqueness, and stability analysis of this problem. An example is given to illustrate the applicability of our results.