Impulsive retarded fractional differential equations with variable moments

Abstract

Integer order impulsive functional differential equations with fi xed and variable times and the fractional order ones with fi xed times have been studied in the related literature several times, so far. To the extent we know, the fractional order ones with variable times have not yet been considered. In this work, we deal with establishing some existence results for solutions of impulsive retarded functional differential equations of fractional order with variable moments.