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

By Kui Liu, Jinrong Wang, Yong Zhou, Donal O'Regan. Chaos, Solitons & Fractals, 2020

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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.

Subfields: Applied Mathematics, Modeling and Simulation, Numerical Analysis

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