|
Abstract
|
In this manuscript, we study the existence and uniqueness of solutions for a new
neutral hybrid nonlinear differential equation in the context of a fractional
generalized operator in the sense of ψ-Caputo. To emphasize the novelty of the
manuscript, a pure technique of the noncompactness measures is applied to a hybrid
system based on the notion of the modulus of continuity in Darbo’s criterion that
covers the existing results of other works published before. The Ulam–Hyers and
generalized Ulam–Hyers stabilities are explored for the given neutral nonhybrid
nonlinear problem. An application is prepared in the framework of an example to
ensure the validity of theorems for different cases.
|