Efficient spectral collocation method for nonlinear systems of fractional pantograph delay differential equations

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dc.contributor.authorZaky, M. A.
dc.contributor.authorBabatin, M.
dc.contributor.authorHammad, M.
dc.contributor.authorAkgul, A.
dc.contributor.authorHendy, A. S.
dc.date.accessioned2024-12-24T19:34:02Z
dc.date.available2024-12-24T19:34:02Z
dc.date.issued2024
dc.departmentSiirt Üniversitesi
dc.description.abstractCaputo-Hadamard-type fractional calculus involves the logarithmic function of an arbitrary exponent as its convolutional kernel, which causes challenges in numerical approximations. In this paper, we construct and analyze a spectral collocation approach using mapped Jacobi functions as basis functions and construct an efficient algorithm to solve systems of fractional pantograph delay differential equations involving Caputo-Hadamard fractional derivatives. What we study is the error estimates of the derived method. In addition, we tabulate numerical results to support our theoretical analysis.
dc.description.sponsorshipDeanship of Scientific Research at Imam Mohammad Ibn Saud Islamic University (IMSIU) [IMSIU-RP23095]
dc.description.sponsorshipThis work was supported and funded by the Deanship of Scientific Research at Imam Mohammad Ibn Saud Islamic University (IMSIU) (grant number IMSIU-RP23095) .
dc.identifier.doi10.3934/math.2024740
dc.identifier.endpage15262
dc.identifier.issn2473-6988
dc.identifier.issue6
dc.identifier.scopus2-s2.0-85191887487
dc.identifier.scopusqualityQ1
dc.identifier.startpage15246
dc.identifier.urihttps://doi.org/10.3934/math.2024740
dc.identifier.urihttps://hdl.handle.net/20.500.12604/8398
dc.identifier.volume9
dc.identifier.wosWOS:001224093500003
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherAmer Inst Mathematical Sciences-Aims
dc.relation.ispartofAims Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectmapped Jacobi functions
dc.subjectspectral methods
dc.subjectconvergence analysis
dc.subjectpantograph delay differential equations
dc.titleEfficient spectral collocation method for nonlinear systems of fractional pantograph delay differential equations
dc.typeArticle

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