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

Authors: 

Vu Ho, Van Hoa Ngo

Source title: 
Fuzzy Sets and Systems, 404: 111-140, 2021 (ISI)
Academic year of acceptance: 
2020-2021
Abstract: 

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.