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Hyers-Ulam stability and existence of solutions for fractional differential equations with Mittag-Leffler kernel
Journal article   Peer reviewed

Hyers-Ulam stability and existence of solutions for fractional differential equations with Mittag-Leffler kernel

Kui Liu, JinRong Wang, Yong Zhou and Donal O'Regan
Chaos, solitons and fractals, Vol.132, p.109534
01/03/2020
DOI: https://doi.org/10.1016/j.chaos.2019.109534

Abstract

Mathematics Mathematics, Interdisciplinary Applications Physical Sciences Physics Physics, Mathematical Physics, Multidisciplinary Science & Technology
In this paper, the Hyers-Ulam stability of linear Caputo-Fabrizio fractional differential equations with Mittag-Leffler kernel is studied using the Laplace transform method (via the Wright function). Existence, uniqueness and generalized Hyers-Ulam-Rassias stability results for nonlinear problems are established. (C) 2019 Elsevier Ltd. All rights reserved.

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