Existence of mild solution result for fractional neutral stochastic integro-differential equations with nonlocal conditions and infinite delay

Abstract

We investigate in this paper the existence of mild solutions for the fractional differential equations of neutral type with nonlocal conditions and infinite delay in Hilbert spaces by employing fractional calculus and Krasnoselski-Schaefer fixed point theorem. Finally an example is provided to illustrate the application of the obtained results.