Studies on Cauchy problems for impulsive differential models involving higher order Riemann–Liouville fractional derivatives

Abstract

In this article, existence results of solutions of a class of boundary value problems of nonlinear singular multi-term fractional differential models with impulses on half line involving higher order Riemann–Liouville fractional derivatives are established. Our analysis rely on a well known fixed point theorems. Examples are presented to illustrate the main theorems.