Communications of the
Korean Mathematical Society CKMS

Existence and uniqueness for fractional differential equations satisfying a general nonlocal initial or boundary condition are proven by means of Schauder's fixed point theorem. The nonlocal condition is given as an integral with respect to a signed measure, and includes the standard initial value condition and multi-point boundary value condition.

Keywords: Fractional differential equations, nonlocal conditions, functional boundary value, existence and uniqueness

MSC numbers: Primary 34A08, 34A12, 34K05