An existence result for multi-term fractional integro-differential inclusions via nonlinear alternative for multi-valued contractive maps

Abstract

In this paper, by applying nonlinear alternative for multi-valued contractive maps, we establish an existence result for a new class of boundary value problems consisting of a nonlinear multi-term fractional integro-differential inclusion involving Caputo derivatives supplemented with non-separated nonlocal integro-multipoint boundary conditions. The obtained result is well illustrated by a numerical example. Several new results appear as special cases of the main result.