Non-instantaneous impulses interval-valued fractional differential equations with Caputo-Katugampola fractional derivative concept

In this paper, by using the Caputo-Katugampola fractional derivative concept for the interval functions, a non-instantaneous impulsive value problem of interval differential equations is investigated. The first purpose is to study the existence and uniqueness results of the solution of the given problem, and the second purpose is to present the Ulam-Hyers-Mittag-Leffler's stability results of the above problem. Finally, some examples are given to illustrate our main results. (C) 2020 Elsevier B.V. All rights reserved.

Automated summary

This paper investigates a non-instantaneous impulsive value problem of interval differential equations using the Caputo-Katugampola fractional derivative concept. The main purposes are to study the existence and uniqueness of the solution, and to present the stability results of the problem. Examples are provided to illustrate the main results.