Existence and uniqueness theorems for impulsive fractional differential equations with the two-point and integral boundary conditions.

ABSTRACT: We study a boundary value problem for the system of nonlinear impulsive fractional differential equations of order α (0 < α ≤ 1) involving the two-point and integral boundary conditions. Some new results on existence and uniqueness of a solution are established by using fixed point theorems. Some illustrative examples are also presented. We extend previous results even in the integer case α = 1.

SUBMITTER: Mardanov MJ 

PROVIDER: S-EPMC3980930 | biostudies-other | 2014

REPOSITORIES: biostudies-other