Existence and stability of a Caputo variable-order boundary value problem
type: Item
instance of: scholarly article
title: Existence and stability of a Caputo variable-order boundary value problem
zbMATH Open document ID: 1477.34008
DOI: 10.1155/2021/7967880
author: Amar Benkerrouche
author: Mohammed Said Souid
author: Sumit Chandok
author: Ali Hakem
published in: Journal of Mathematics
publication date: 2021-11-24T00:00:00Z
review text: Summary: In this study, we investigate the existence of a solution to the boundary value problem (BVP) of variable-order Caputo-type fractional differential equation by converting it into an equivalent standard Caputo (BVP) of the fractional constant order with the help of the generalized intervals and the piecewise constant functions. All our results in this study are proved by using Darbo's fixed-point theorem and the Ulam-Hyers (UH) stability definition. A numerical example is given at the end to support and validate the potentiality of our obtained results.
Mathematics Subject Classification ID: 34A08
zbMATH DE Number: 7433100
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2021/7967880
OpenAlex ID: W3205753110
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description: scientific article; zbMATH DE number 7433100