Nonlinear fractional boundary value problem with not instantaneous impulse

Abstract

In this article, the main focus is to propose the solution for the nonlinear fractional boundary system with non-instantaneous impulse under some weak conditions. By applying well known classical fixed point theorems, we obtained the existence and uniqueness outcomes of the solution for the proposed problem. Moreover, an example is also discussed to explain the present work.

Keywords

• Fractional order differential equation| fixed point theorems| impulsive conditions