4.7 Article

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

Journal

FUZZY SETS AND SYSTEMS
Volume 404, Issue -, Pages 111-140

Publisher

ELSEVIER
DOI: 10.1016/j.fss.2020.05.004

Keywords

Fractional fuzzy calculus; Fractional Fuzzy differential equations; Impulsive interval fractional differential equations

Funding

  1. Vietnam National Foundation for Science and Technology Development (NAFOSTED) [107.02-2017.319]

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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.
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.

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