Existence and Uniqueness Theorems for Impulsive Fractional Differential Equations with the Two-Point and Integral Boundary Conditions

الملخص EN

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 .