Nonlocal Hilfer fractional neutral integrodifferential equations

摘要

In this paper, we deal with the Hilfer fractional neutral integrodi erentialequations involving nonlocal initial conditions. The existence of mild solutionsare established. The results are obtained by using the fractional power ofoperators and the Sadovskii's xed point theorem. At the end, an example isalso given to show the applicability of our obtained theory.