A note on fractional differential equations with fractional separated boundary conditions

Abstract

We consider a new class of boundary value problems of nonlinear fractional differential equations with fractional separated boundary conditions. A connection between classical separated and fractional separated boundary conditions is developed. Some new existence and uniqueness results are obtained for this class of problems by using standard fixed point theorems. Some illustrative examples are also discussed. © 2012 Bashir Ahmad and Sotiris K. Ntouyas.