Title: Non-uniqueness of solution for initial value problem of impulsive Caputo-Katugampola fractional differential equations
Authors: Xianmin Zhang
Addresses: School of Mathematics and statistics, Yangtze Normal University, Fuling, Chongqing 408100, China
Abstract: In this paper, the non-uniqueness of solution is mainly considered to the initial value problem (IVP) for the system of impulsive fractional differential equations (IFrDE) with Caputo-Katugampola derivative. The IVP for IFrDE with Caputo-Katugampola derivative is equivalent to the integral equations with an arbitrary constant, which means that the solution is non-unique. Finally, a numerical example is provided to show the main result.
Keywords: fractional differential equation; IFrDE; impulsive fractional differential equation; impulse; Caputo-Katugampola derivative.
International Journal of Dynamical Systems and Differential Equations, 2020 Vol.10 No.3, pp.183 - 200
Received: 19 May 2018
Accepted: 16 Oct 2018
Published online: 16 Jun 2020 *