Abstract
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.
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