In this paper, a new class of abstract impulsive Riemann-Liouville fractional partial neutral functional differential equations with infinite delay is introduced. We apply the suitable fixed point theorem together with the Hausdorff measure of noncompactness to investigate the existence of mild solutions for these equations in Banach spaces. Finally, two examples to illustrate the applications ...

This article is mainly devoted to the study of existence solutions for second-order abstract non-autonomous integro-differential evolution equations with infinite state-dependent delay. In first part, we are concerned retarded functional differential second extend our results neutral Our established using properties resolvent operator corresponding equation and fixed point theorems. Finally, an...

We study scalar first order linear autonomous neutral delay differential equations with distributed type delays. This article presents some new results on the asymptotic behavior, the nonoscillation and the stability. These results are obtained via a real root (with an appropriate property) of the characteristic equation. Applications to the special cases such as (non-neutral) delay differentia...