Dynamics of fractional neutral multi-pantograph differential systems through conformable fractional derivatives with impulses

Abstract

This paper introduces a new class of fractional neutral multi-pantograph differential equations (FNMPDEs) with instantaneous impulses (IIs) within a general Banach space $\E$. We employ the theory of semigroups and fixed point theorems to prove the existence of mild solutions for the addressing system.  Furthermore, to showcase the applicability of the theoretical results, some illustrative examples are presented.