On local generalized Ulam-Hyers stability for nonlinear fractional functional differential equation
type: Item
instance of: scholarly article
title: On local generalized Ulam-Hyers stability for nonlinear fractional functional differential equation
zbMATH Open document ID: 1459.34182
DOI: 10.1155/2020/3276873
author: Dongming Nie
author: Azmat Ullah Khan Niazi
author: Bilal Ahmed
published in: Mathematical Problems in Engineering
publication date: 2020-07-13T00:00:00Z
review text: Summary: We discuss the existence of positive solution for a class of nonlinear fractional differential equations with delay involving Caputo derivative. Well-known Leray-Schauder theorem, Arzela-Ascoli theorem, and Banach contraction principle are used for the fixed point property and existence of a solution. We establish local generalized Ulam-Hyers stability and local generalized Ulam-Hyers-Rassias stability for the same class of nonlinear fractional neutral differential equations. The simulation of an example is also given to show the applicability of our results.
Mathematics Subject Classification ID: 34K37
Mathematics Subject Classification ID: 34A12
zbMATH DE Number: 7219927
Wikidata QID: Q115243856
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2020/3276873
OpenAlex ID: W3036017268
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description: scientific article; zbMATH DE number 7219927