On the Ulam stability and existence of $ L^p $-solutions for fractional differential and integro-differential equations with Caputo-Hadamard derivative

On the Ulam stability and existence of $ L^p $-solutions for fractional differential and integro-differential equations with Caputo-Hadamard derivative

In this paper, we investigate the existence and uniqueness of $ L^p $-solutions for nonlinear fractional differential and integro-differential equations with boundary conditions using the Caputo-Hadamard derivative. By employing Hölder's inequality together with the Krasnoselskii fixed-point th...

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Bibliographic Details
Main Authors: Abduljawad Anwar, Shayma Adil Murad
Format: Article
Language:English
Published: AIMS Press 2024-12-01
Series:Mathematical Modelling and Control
Subjects:
fractional differential equations $ ({\mathcal{fde}}{s}) $
caputo-hadamard ($ {\mathcal{ch}} $) derivative
fixed-point theorems
ulam-hyers $ ({\mathcal{uh}}) $ stability
adomian decomposition method ($ {\mathcal{adm}} $)
Online Access:https://www.aimspress.com/article/doi/10.3934/mmc.2024035
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https://www.aimspress.com/article/doi/10.3934/mmc.2024035

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