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This paper deals with the existence and uniqueness of solutions for anonlinear boundary value problem involving a sequential $\psi$-Hilferfractional integro-differential equations with nonlocal boundary conditions.The existence and uniqueness of solutions are established for the consideredproblem by using the Banach contraction principle, Sadovski's fixed pointtheorem, and Krasnoselskii-Schaefer fixed point theorem due to Burton and Kirk.In addition, the Ulam-Hyers stability of solutions is discussed. Finally, theobtained results are illustrated by examples.

Existence and stability results for a sequential $\psi$-Hilfer fractional integro-differential equations with nonlocal boundary conditions