Solvability of boundary value problems for impulsive fractional differential equations in Banach spaces

摘要

Of concern is the existence of solutions for a class of boundary value problems for impulsive fractional differential equations involving the Caputo fractional derivative in a Banach space. Our approach is based upon the techniques of noncompactness measures and the fixed point theory. Two examples are presented to illustrate the results. MSC: 34A08, 34A37, 34K30, 47H08.