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Ulam‐Hyers‐Rassias stability for generalized fractional differential equations
Journal article   Peer reviewed

Ulam‐Hyers‐Rassias stability for generalized fractional differential equations

Djalal Boucenna, Abdellatif Ben Makhlouf, El‐sayed El-hady and Mohamed Ali Hammami
Mathematical methods in the applied sciences, Vol.44(13), pp.10267-10280
15/09/2021
DOI: https://doi.org/10.1002/mma.7406

Abstract

generalized fractional derivative nonlinear fractional differential equations Ulam–Hyers–Rassias stability
In this paper, we present a generalized Gronwall inequality with singularity. Using this inequality, we investigate the existence, uniqueness, and Ulam‐Hyers‐Rassias stability for solutions of a class of generalized nonlinear fractional differential equations of order α (1 < α < 2). In this way, we improve and generalize several earlier outcomes.

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