Isaac Scientific Publishing

Journal of Advances in Applied Mathematics

Existence and Uniqueness of Solutions of Integer Order Differential Equations with Non-Instantaneous Impulses

Download PDF (346.2 KB) PP. 71 - 77 Pub. Date: April 2, 2020

DOI: 10.22606/jaam.2020.52003

Author(s)

  • WenJing Zheng*
    College of Science, University of Shanghai for Science and Technology, Shanghai, P. R. China

Abstract

We study the existence and uniqueness of solutions for a class of integer order differential equations with non-instantaneous. Firstly, the differential boundary value problem is transformed into an equivalent integral equation problem, and then the existence results of the solution and the sufficient conditions for the existence of the solutions are obtained by using Schauder fixed point theory. The uniqueness theorem of the solution is established by using contraction mapping principle.

Keywords

non-instantaneous impulsive, Caputo derivative, contraction mapping principle, Schauder fixed point theorem

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