Impulsive problems for fractional differential equations with nonlocal boundary value conditions
Summary: We investigate the nonlocal boundary value problems of impulsive fractional differential equations. By Banach's contraction mapping principle, Schaefer's fixed point theorem, and the nonlinear alternative of Leray-Schauder type, some related new existence results are established via a new special hybrid singular type Gronwall inequality. At last, some examples are also given to illustrate the results.
scientific article; zbMATH DE number 7022517
scientific article