NUMERICAL ANALYSIS OF FRACTIONAL-ORDER EMDEN-FOWLER EQUATIONS USING MODIFIED VARIATIONAL ITERATION METHOD

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dc.authoridShah, Nehad Ali/0000-0002-1949-5643
dc.authorid/0000-0001-7266-1893
dc.contributor.authorZhang, Ri
dc.contributor.authorShah, Nehad Ali
dc.contributor.authorEl-Zahar, Essam R.
dc.contributor.authorAkgul, Ali
dc.contributor.authorChung, Jae Dong
dc.date.accessioned2024-12-24T19:29:42Z
dc.date.available2024-12-24T19:29:42Z
dc.date.issued2023
dc.departmentSiirt Üniversitesi
dc.description.abstractThis work aims at a new semi-analytical method called the variational iteration transform method for investigating fractional-order Emden-Fowler equations. The Shehu transformation and the iterative method are applied to achieve the solution of the given problems. The proposed method has the edge over other techniques as it does not required extra calculations. Some numerical problems are used to test the validity of the suggested method. The solution obtained has demonstrated that the proposed technique has a higher level of accuracy. The proposed method is capable of tackling various nonlinear fractional-order problems due to its simple implementation.
dc.description.sponsorshipTechnology Innovation Program [20018869]; Ministry of Trade, Industry and Energy (MOTIE, Korea); Prince Sattam bin Abdulaziz University [PSAU/2023/R/1444]
dc.description.sponsorshipThis work was supported by the Technology Innovation Program (20018869, Development of Waste Heat and Waste Cold Recovery Bus Air-conditioning System to Reduce Heating and Cool-ing Load by 10%) funded by the Ministry of Trade, Industry and Energy (MOTIE, Korea). This study is supported via funding from Prince Sattam bin Abdulaziz University project number (PSAU/2023/R/1444). R. Zhang and N. A. Shah contributed equally to this work and are co-first authors.
dc.identifier.doi10.1142/S0218348X23400285
dc.identifier.issn0218-348X
dc.identifier.issn1793-6543
dc.identifier.issue2
dc.identifier.scopus2-s2.0-85149955421
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1142/S0218348X23400285
dc.identifier.urihttps://hdl.handle.net/20.500.12604/7215
dc.identifier.volume31
dc.identifier.wosWOS:000946595800002
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherWorld Scientific Publ Co Pte Ltd
dc.relation.ispartofFractals-Complex Geometry Patterns and Scaling in Nature and Society
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectVariational Iteration Method
dc.subjectShehu Transform
dc.subjectFractional-Order Emden-Fowler Equations
dc.subjectCaputo Derivative
dc.titleNUMERICAL ANALYSIS OF FRACTIONAL-ORDER EMDEN-FOWLER EQUATIONS USING MODIFIED VARIATIONAL ITERATION METHOD
dc.typeArticle

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