Impulsive fractional differential inclusions with infinite delay

Abstract

In this article, we apply Bohnenblust-Karlin's fixed point theorem to prove the existence of mild solutions for a class of impulsive fractional equations inclusions with infinite delay. An example is given to illustrate the theory.

Keywords

• Impulsive fractional differential inclusions
• alpha-resolvent family
• Caputo fractional derivative
• mild solution
• multivalued map
• fixed point
• Banach space