Some new existence and uniqueness results of solutions to semilinear impulsive fractional integro-differential equations

摘要

We consider the existence and uniqueness of solutions for the boundary value problem of semilinear impulsive integro-differential equations of fractional order q ∈ ( 1 , 2 ] $qin(1,2]$ . Our results are based on the Altman fixed point theorem and a standard fixed point theorem. Two examples are presented to illustrate the main results.