A novel approach to Lyapunov stability of Caputo fractional dynamic equations on time scale using a new generalized derivative

In this work, we introduced a generalized concept of Caputo fractional derivatives, specifically the Caputo fractional delta derivative (Fr$ \Delta $D) and Caputo fractional delta Dini derivative (Fr$ \Delta $DiD) of order $ \alpha \in (0, 1) $, on an arbitrary time domain $ \mathbb{T} $, which was...

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Bibliographic Details
Main Authors: Michael Precious Ineh, Edet Peter Akpan, Hossam A. Nabwey
Format: Article
Language:English
Published: AIMS Press 2024-12-01
Series:AIMS Mathematics
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Online Access:https://www.aimspress.com/article/doi/10.3934/math.20241639
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