A nonlocal problem of an arbitrary (fractional)‎ orders differential equation

الملخص EN

In this paper we study the existence of solution for the differential equation of arbitrary ( fractional ) orders = f {t,Dax{t)), t G (0,1) with the nonlocal condition x(0)^5I^™= i x(tk) = xo where f is L1—Caratheodory.

The nonlocal integral condition x(0) + Jo x(s) ds = xo will be studied.