Existence Results for the Solution of Abstract Neutral Impulsive Differential Problems with State-Dependent Delay

Existence, uniqueness, and Hyers-Ulam stability of abstract neutral differential equation containing state-dependent fractional integrable impulses

“…In this regard, we mention [21] and the work done by Hartung et al [10] and the references in that for related state-dependent argument in ordinary differential equations. The research on state-dependent argument abstract and partial differential equations is mainly related to non-neutral problems, see the survey by Yunfei et al [25,26], Rezounenko et al [21], Baliki and Benchohra [3], Chaudhary and Panday [5], Fu and Huang [8], Ma and Liu [27], Ravichandran et al [33] and the work done by Kosovalic et al [19,20] as well as the latest articles by Hern ández et al [13,14,17,29]. We cite the contributions by Hern ández et al [15,16] for the abstract neutral differential equations.…”