Abstract Impulsive Volterra Integro-Differential Inclusions

Abstract

In this work, we provide several applications of (a, k)-regularized C-resolvent families to the abstract impulsive Volterra integro-differential inclusions. The resolvent operator families under our consideration are subgenerated by multivalued linear operators, which can degenerate in the time variable. The use of regularizing operator C seems to be completely new within the theory of the abstract impulsive Volterra integro-differential equations.

Keywords

• multivalued linear operators
• (<i>a, k</i>)-Regularized C-resolvent families
• abstract impulsive fractional integro-differential inclusions
• abstract impulsive higher-order Cauchy problems
• abstract impulsive Volterra integro-differential inclusions