A generalized Gegenbauer wavelet collocation method for solving p-type fractional neutral delay differential and delay partial differential equations

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dc.contributor.authorFaheem, Mo
dc.contributor.authorKhan, Arshad
dc.contributor.authorOruc, Omer
dc.date.accessioned2024-04-24T16:10:38Z
dc.date.available2024-04-24T16:10:38Z
dc.date.issued2022
dc.departmentDicle Üniversitesien_US
dc.description.abstractIn this work, we have investigated p-type fractional neutral delay differential equations (p-FNDDE) and p-type fractional neutral delay partial differential equations (p-FNDPDE) via generalized Gegenbauer wavelet. Generalized Gegenbauer scaling function fractional integral operator (GGSFIO) is constructed using the Riemann-Liouville definition of fractional integral to handle the fractional derivatives present in p-FNDDE and p-FNDPDE. The operation of Gegenbauer wavelet basis and GGSFIO to p-FNDDE and p-FNDPDE returns a system of equations which is later solved by Newton's method for unknown wavelet coefficients. With the help of these coefficients, we get the approximate solution. We have established the convergence analysis to assure the theoretical authenticity of the present method. The developed scheme is tested on several examples of p-FNDDE and p-FNDPDE to ensure computational convergence which validated the theoretical findings. The comparison of the numerical results of our method with the existing methods concludes the superiority of the proposed method.en_US
dc.description.sponsorshipCouncil of Scientific and Industrial Research (CSIR)en_US
dc.description.sponsorshipThe authors are thankful to anonymous reviewers for their fruitful suggestions which greatly improved the quality and presentation of the paper. First author is also thankful to the Council of Scientific and Industrial Research (CSIR), Govt. of India for providing Senior Research Fellowship.en_US
dc.identifier.doi10.1007/s40096-022-00490-0
dc.identifier.issn2008-1359
dc.identifier.issn2251-7456
dc.identifier.scopus2-s2.0-85141977474
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1007/s40096-022-00490-0
dc.identifier.urihttps://hdl.handle.net/11468/14988
dc.identifier.wosWOS:000884211900001
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoenen_US
dc.publisherSpringer Heidelbergen_US
dc.relation.ispartofMathematical Sciences
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectGegenbauer Waveleten_US
dc.subjectCollocation Gridsen_US
dc.subjectFractional Neutral Delay Differential Equationsen_US
dc.subjectFractional Neutral Delay Partial Differential Equationsen_US
dc.subjectConvergenceen_US
dc.titleA generalized Gegenbauer wavelet collocation method for solving p-type fractional neutral delay differential and delay partial differential equationsen_US
dc.titleA generalized Gegenbauer wavelet collocation method for solving p-type fractional neutral delay differential and delay partial differential equations
dc.typeArticleen_US

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