A novel approach to fractional differential equations via JSN transform coupled fractional residual power series method

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dc.authorid0000-0001-8989-4271
dc.authorid0009-0001-5616-881X
dc.authorid0000-0003-3205-9800
dc.contributor.authorPrakash, K. Jayaram
dc.contributor.authorSaratha, S. R.
dc.contributor.authorYildirim, Ahmet
dc.date.accessioned2025-03-12T12:01:51Z
dc.date.available2025-03-12T12:01:51Z
dc.date.issued2024
dc.departmentEge Üniversitesi, Fen Fakültesi, Matematik Bölümü
dc.description.abstractIn this study, we introduce a novel modified general integral transform known as the JSN transform, which offers several advantages over the Laplace and other integral transforms with exponential kernels. Fundamental results of the JSN transform of the Caputo fractional derivative are discussed. Furthermore, we develop a novel hybrid technique called the JSN Fractional Residual Power Series Method ( JSN FRPSM). This new technique incorporates the JSN transform with the existing Residual Power Series Method. To demonstrate the efficiency of the proposed hybrid technique in solving fractional differential equations, we apply it to various fractional differential equations encountered in science and engineering. Statistical and error analyses are conducted to validate the results obtained through the proposed method. Additionally, the series solutions obtained via the proposed method are illustrated graphically.
dc.identifier.citationK, J. P., S R, S., & Yildirim, A. (2024). A novel approach to fractional differential equations via JSN transform coupled fractional residual power series method. Physica Scripta, 99(12), 125285.
dc.identifier.doi10.1088/1402-4896/ad92bb
dc.identifier.endpage24
dc.identifier.issn0031-8949
dc.identifier.issue12
dc.identifier.scopus2-s2.0-85213297317
dc.identifier.scopusqualityQ2
dc.identifier.startpage1
dc.identifier.urihttps://doi.org/10.1088/1402-4896/ad92bb
dc.identifier.urihttps://hdl.handle.net/11454/116657
dc.identifier.volume99
dc.identifier.wosWOS:001364644800001
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorYildirim, Ahmet
dc.institutionauthorid0000-0001-8989-4271
dc.language.isoen
dc.publisherIOP Publishing Ltd
dc.relation.ispartofPhysica Scripta
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectfractional reaction-diffusion equation
dc.subjectfractional residual power series method
dc.subjectgeneral integral transform
dc.subjecttime-fractional navier-stokes equation
dc.subjecttime-fractional radioactive decay equation
dc.titleA novel approach to fractional differential equations via JSN transform coupled fractional residual power series method
dc.typeArticle

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