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Le Matematiche
Article . 2015
Data sources: DOAJ
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Le Matematiche
Article . 2015
Data sources: mEDRA
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On stability for nonlinear implicit fractional differential equations

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2015 English Publisher:Università degli Studi di CataniaJournal:Le Matematiche (issn: 0373-3505, Copyright policy )
Authors: Mouffak Benchohra; Jamal E. Lazreg;

doi: 10.4418/2015.70.2.4

On stability for nonlinear implicit fractional differential equations

Abstract

The purpose of this paper is to establish some types of Ulam stability: Ulam-Hyers stability, generalized Ulam-Hyers stability, Ulam-Hyers-Rassias stability and generalized Ulam-Hyers-Rassias stability for a class of implicit fractional-order differential equation.

Keywords

Initial value problem, fixed point, Gronwall's lemma, Ulam-Hyers-Rassias stability, implicit fractional differential equations, QA1-939, fractional integral, existence, Ulam-Hyers stability, Caputo's fractional derivative, Mathematics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
3
Average
Average
Average
Published in a Diamond OA journal