On the fractional partial integro-differential equations of mixed type with non-instantaneous impulses

Abstract

Abstract In this paper, we consider the initial boundary value problem for a class of nonlinear fractional partial integro-differential equations of mixed type with non-instantaneous impulses in Banach spaces. Sufficient conditions of existence and uniqueness of PC-mild solutions for the equations are obtained via general Banach contraction mapping principle, Krasnoselskii’s fixed point theorem, and α-order solution operator.

Keywords

• Nonlinear fractional partial integro-differential equations of mixed type
• Non-instantaneous impulses
• α-order solution operator
• General Banach contraction mapping principle
• Krasnoselskii’s fixed point theorem