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

Kui Liu, JinRong Wang, Yong Zhou and O’Regan, Donal

Chaos, Solitons & Fractals, 2020, vol. 132, issue C

Abstract: 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.

Keywords: Caputo–Fabrizio fractional differential equations; Mittag–Leffler kernel; Existence and uniqueness; Hyers–Ulam stability (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (8)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:132:y:2020:i:c:s0960077919304850

DOI: 10.1016/j.chaos.2019.109534

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