Existence results for nonlocal Hilfer-type integral-multipoint boundary value problems with mixed nonlinearities

Abstract

In this paper we investigate the existence of solutions forHilfer-type fractional differential equations and inclusions involving mixed nonlinearities complemented with nonlocal integral-multipoint boundary conditions . Our study is based on the tools of fixed point theory for both single-valued and multi-valued maps. Examples are constructed for illustrating the obtained results. We also discuss special cases concerning Langevin equation and inclusions in the given setting.