Abstract
In the present research work, we investigate the existence of a solution for new boundary value problems involving fractional differential equations with psi-Caputo fractional derivative supplemented with nonlocal multipoint, Riemann-Stieltjes integral and psi-Riemann-Liouville fractional integral operator of order gamma boundary conditions. Also, we study the existence result for the inclusion case. Our results are based on the modern tools of the fixed-point theory. To illustrate our results, we provide examples.