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