Mild solutions for impulsive functional differential equations of order α ∈ (1, 2)

Abstract

In this research paper, first we develop the definition of mild solutions for impulsive fractional differential equations of order α ∈ (1, 2). Second, we study the uniqueness result of mild solutions for impulsive fractional differential equation with state-dependent delay by applying fixed point theorem and solution operator. At last, we present an example to illustrate the uniqueness result using fractional partial derivatives. © Springer India 2015.