The nonlocal Cauchy problem for nonlinear fractional integrodifferential equations in Banach spaces

Abstract: In this paper we prove the existence of solutions of certain kinds of nonlinear fractional integrodifferential equations in Banach spaces. Further, Cauchy problems with nonlocal initial conditions are discussed for the aforementioned fractional integrodifferential equations. At the end, an example is presented. [Copyright &y& Elsevier]