Publication:
ON GENERALIZED STIELTJES-TYPE INTEGRAL TRANSFORM: THEORY AND APPLICATIONS

Simple item page
dc.contributor.authorSalimov, Ramil
dc.contributor.authorAlbayrak, Durmuş
dc.contributor.institutionSalimov, Ramil, Department of Mathematics, Bahçeşehir Üniversitesi, Istanbul, Turkey
dc.contributor.institutionAlbayrak, Durmuş, Department of Mathematics, Marmara Üniversitesi, Istanbul, Turkey
dc.date.accessioned2025-10-05T14:36:49Z
dc.date.issued2025
dc.description.abstractThis paper is focused on the generalized Stieltjes-type integral transform. We derive the transform of a specific derivative operator and also achieve the transforms of integrals and fractional integrals. A significant contribution of this paper is the introduction of a new convolution associated with this transform, along with a proof of the corresponding convolution theorem. Additionally, the transform is employed to solve a variety of problems, including initial-boundary value problems for both ordinary and partial differential equations, as well as an integral equation. © 2025 Elsevier B.V., All rights reserved.
dc.identifier.doi10.1007/s10958-025-07864-4
dc.identifier.issn15738795
dc.identifier.issn10723374
dc.identifier.scopus2-s2.0-105012586336
dc.identifier.urihttps://doi.org/10.1007/s10958-025-07864-4
dc.identifier.urihttps://hdl.handle.net/20.500.14719/6663
dc.language.isoen
dc.publisherSpringer
dc.relation.sourceJournal of Mathematical Sciences
dc.subject.authorkeywordsConvolution
dc.subject.authorkeywordsGeneralized Laplace-type Transform
dc.subject.authorkeywordsGeneralized Stieltjes Transform
dc.subject.authorkeywordsGeneralized Stieltjes-type Transform
dc.subject.authorkeywordsIntegral Transform
dc.subject.authorkeywordsLaplace Transform
dc.subject.authorkeywordsStieltjes Transform
dc.titleON GENERALIZED STIELTJES-TYPE INTEGRAL TRANSFORM: THEORY AND APPLICATIONS
dc.typeArticle
dcterms.referencesAn Atlas of Functions with Equator the Atlas Function Calculator, (2025), Special Functions for Scientists and Engineers, (1968), Fereira, Johan, A gamma type distribution involving a confluent hypergeometric function of the second kind, Revista Tecnica de la Facultad de Ingenieria Universidad del Zulia, 33, 2, pp. 169-175, (2010), Wavelet Transforms and their Applications, (2002), Handbook of Function and Generalized Function Transformations, (1996), Tables of Integral Transforms, (1954), Yürekli, Osman, A theorem on the generalized Stieltjes transform and its applications, Journal of Mathematical Analysis and Applications, 168, 1, pp. 63-71, (1992), Schwarz, John H., The generalized Stieltjes transform and its inverse, Journal of Mathematical Physics, 46, 1, (2005), Katugampola, Udita N., New approach to a generalized fractional integral, Applied Mathematics and Computation, 218, 3, pp. 860-865, (2011), Fractional Differential Equations, (1999)
dspace.entity.typePublication
local.indexed.atScopus
person.identifier.scopus-author-id60030057600
person.identifier.scopus-author-id55352571700

Files

Collections

Scopus İndeksli Yayınlar Koleksiyonu