Existence of solutions for boundary value problem of fractional order impulsive differential equations systems

Abstract

By defining appropriate linear space and norm, giving the appropriate operator, using the contraction mapping principle and krasnoselskii fixed point theorem respectively, the existence and uniqueness of solutions for boundary value problem of fractional order impulsive differential equations systems are investigated under certain condition that nonlinear term and pulse value are satisfied. An example is given to illustrate that the required conditions can be satisfied.

Keywords

• numerical solution of ordinary differential equations
• contraction mapping principle
• differential equations
• impulsive
• fractional calculus
• boundary value problem