A New Numerical Approach for Solving the Fractional Nonlinear Multi-pantograph Delay Differential Equations

Basit Öğe Kaydı
dc.authoridHajishafieiha, Jalal/0000-0002-9200-5700
dc.authoridAllahviranloo, Tofigh/0000-0002-6673-3560
dc.authorwosidHajishafieiha, Jalal/AAW-4392-2021
dc.authorwosidAllahviranloo, Tofigh/V-4843-2019
dc.contributor.authorHajishafieiha, J.
dc.contributor.authorAbbasbandy, S.
dc.contributor.authorAllahviranloo, T.
dc.date.accessioned2024-05-19T14:41:40Z
dc.date.available2024-05-19T14:41:40Z
dc.date.issued2023
dc.departmentİstinye Üniversitesien_US
dc.description.abstractThe numerical solution of the fractional nonlinear multi-pantograph delay differential equations is investigated by a new class of polynomials. These polynomials are equipped with an unknown auxiliary parameter a, which is obtained by using the collocation and least-squares methods. In this paper, the numerical solution of the fractional nonlinear multi-pantograph delay differential equation is displayed in the truncated series form. The existence and uniqueness of the solution and the error analysis are also investigated in this article. In four examples, the numerical results of the present method have been compared with other methods. For the first time, a-polynomials are used in this article to numerically solve the fractional nonlinear multi-pantograph delay differential equations, and accurate approximations have been displayed.en_US
dc.identifier.doi10.1007/s40995-023-01457-z
dc.identifier.endpage835en_US
dc.identifier.issn2731-8095
dc.identifier.issn2731-8109
dc.identifier.issue3en_US
dc.identifier.scopus2-s2.0-85160774575en_US
dc.identifier.scopusqualityN/Aen_US
dc.identifier.startpage825en_US
dc.identifier.urihttps://doi.org10.1007/s40995-023-01457-z
dc.identifier.urihttps://hdl.handle.net/20.500.12713/5141
dc.identifier.volume47en_US
dc.identifier.wosWOS:000973218100002en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSpringer Int Publ Agen_US
dc.relation.ispartofIranian Journal of Scienceen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.snmz20240519_kaen_US
dc.subjectFractional Multi-Pantograph Delay Differential Equationsen_US
dc.subjectCollocation Methoden_US
dc.subjectCaputo Fractional Derivativeen_US
dc.titleA New Numerical Approach for Solving the Fractional Nonlinear Multi-pantograph Delay Differential Equationsen_US
dc.typeArticleen_US

Dosyalar

Koleksiyon

WoS İndeksli Yayınlar Koleksiyonu
Scopus İndeksli Yayınlar Koleksiyonu