Publication:
Generalizations of Gronwall's type integral inequalities with singular kernel

Simple item page
dc.contributor.authorAshyraliyev, Maksat
dc.contributor.editorLukashov, A.
dc.contributor.editorAshyralyev, A.
dc.contributor.editorMalkowsky, E.
dc.contributor.editorBasar, F.
dc.contributor.editorMalkowsky, E.
dc.contributor.editorAshyralyev, A.
dc.contributor.institutionAshyraliyev, Maksat, Department of Software Engineering, Bahçeşehir Üniversitesi, Istanbul, Turkey
dc.date.accessioned2025-10-05T16:30:23Z
dc.date.issued2015
dc.description.abstractIn this paper, the generalization of Gronwall's type integral inequalities with singular kernel are established. In applications, theorems on stability estimates for the solution of the nonlinear integral equation and the integral-differential equation of the parabolic type are presented. Moreover, these inequalities can be used in the theory of fractional differential equations. © 2018 Elsevier B.V., All rights reserved.
dc.description.sponsorshipBadji Mokhtar Annaba University
dc.description.sponsorshipFatih University
dc.description.sponsorshipInstitute of Mathematics and Mathematical Modeling
dc.identifier.conferenceNameInternational Conference on Advancements in Mathematical Sciences, AMS 2015
dc.identifier.conferencePlaceAntalya
dc.identifier.doi10.1063/1.4930444
dc.identifier.issn0094243X
dc.identifier.issn15517616
dc.identifier.scopus2-s2.0-84984568928
dc.identifier.urihttps://doi.org/10.1063/1.4930444
dc.identifier.urihttps://hdl.handle.net/20.500.14719/12697
dc.identifier.volume1676
dc.language.isoen
dc.publisherAmerican Institute of Physics Inc. subs@aip.org
dc.relation.sourceAIP Conference Proceedings
dc.subject.authorkeywordsIntegral Equations
dc.subject.authorkeywordsIntegral Inequalities
dc.subject.authorkeywordsIntegral-differential Equations
dc.subject.authorkeywordsSingular Kernel
dc.titleGeneralizations of Gronwall's type integral inequalities with singular kernel
dc.typeConference Paper
dcterms.referencesAshyraliyev, Maksat, A note on the stability of the integral-differential equation of the hyperbolic type in a Hilbert space, Numerical Functional Analysis and Optimization, 29, 7-8, pp. 750-769, (2008), Linear Differential Equations in Banach Space, (1971), Inequalities, (1961), Ashirov, S., A volterra-type integral equation, Ukrainian Mathematical Journal, 40, 4, pp. 438-442, (1988), Ann Math, (1919), Integral Inequalities, (1991), J Integral Equations, (1982), Direk, Zilal, Fdm for the integral-differential equation of the hyperbolic type, Advances in Difference Equations, 2014, 1, (2014), Journal of Inequalities and Applications, (2010), Ashyralyev, Allaberen, A note on fractional derivatives and fractional powers of operators, Journal of Mathematical Analysis and Applications, 357, 1, pp. 232-236, (2009)
dspace.entity.typePublication
local.indexed.atScopus
person.identifier.scopus-author-id23987071800

Files

Collections

Scopus İndeksli Yayınlar Koleksiyonu