Existence and Ulam–Hyers stability of a kind of fractional-order multiple point BVP involving noninstantaneous impulses and abstract bounded operator

Abstract In this paper, we mainly study a kind of fractional-order multiple point boundary value problem involving noninstantaneous impulse and abstract bounded operator. The existence uniqueness is obtained by the Banach contraction principle. And applying direct analysis methods, establish some conditions Ulam–Hyers stability for problem. Finally, an interesting application example given to illustrate validity results.