A novel L1-Predictor-Corrector method for the numerical solution of the generalized-Caputo type fractional differential equations

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dc.authoridS M, Sivalingam/0000-0003-0818-9007
dc.authoridKumar, Pushpendra/0000-0002-7755-2837
dc.authorscopusid58413452000
dc.authorscopusid57217132593
dc.authorscopusid7005816677
dc.authorscopusid55363702400
dc.authorwosidS M, Sivalingam/HOH-3172-2023
dc.authorwosidKumar, Pushpendra/AAA-1223-2021
dc.contributor.authorSivalingam, S. M.
dc.contributor.authorKumar, Pushpendra
dc.contributor.authorTrinh, Hieu
dc.contributor.authorGovindaraj, V.
dc.date.accessioned2024-05-25T11:37:33Z
dc.date.available2024-05-25T11:37:33Z
dc.date.issued2024
dc.departmentOkan Universityen_US
dc.department-temp[Sivalingam, S. M.; Govindaraj, V.] Natl Inst Technol Puducherry, Dept Math, Karaikal 609609, India; [Kumar, Pushpendra] Near East Univ TRNC, Math Res Ctr, Dept Math, 10,Mersin, Nicosia, Turkiye; [Kumar, Pushpendra] Istanbul Okan Univ, Fac Engn & Nat Sci, Istanbul, Turkiye; [Trinh, Hieu] Deakin Univ, Sch Engn, Geelong, Vic 3217, Australiaen_US
dc.descriptionS M, Sivalingam/0000-0003-0818-9007; Kumar, Pushpendra/0000-0002-7755-2837en_US
dc.description.abstractThis paper proposes a novel L1 -based predictor-corrector method for the fractional differential equations involving generalized-Caputo type derivative. A decomposition scheme is used to obtain the three-point predictor-corrector formula. The error and stability of the proposed method are given in detail. A computer virus and a five-dimensional Hopfield neural network models are solved using the proposed approach.en_US
dc.description.sponsorshipUGC NFOBC Ph.D. Fellowship, India [[202122]-TN13000109]; National Board for Higher Mathematics (NBHM), Department of Atomic Energy, Government of India [02011/18/2023 NBHM (R.P)/ RD II/5952]en_US
dc.description.sponsorshipThe first author received the financial support of UGC NFOBC Ph.D. Fellowship, India (Ref. [202122]-TN13000109). V. Govindaraj would like to thank the National Board for Higher Mathematics (NBHM), Department of Atomic Energy, Government of India, for funding the research project (File No. 02011/18/2023 NBHM (R.P)/ R & D II/5952) All authors approved the version of the manuscript to be published.en_US
dc.identifier.citation1
dc.identifier.doi10.1016/j.matcom.2024.01.017
dc.identifier.endpage480en_US
dc.identifier.issn0378-4754
dc.identifier.issn1872-7166
dc.identifier.scopus2-s2.0-85184839930
dc.identifier.scopusqualityQ1
dc.identifier.startpage462en_US
dc.identifier.urihttps://doi.org/10.1016/j.matcom.2024.01.017
dc.identifier.urihttps://hdl.handle.net/20.500.14517/1189
dc.identifier.volume220en_US
dc.identifier.wosWOS:001185511100001
dc.identifier.wosqualityQ1
dc.language.isoen
dc.publisherElsevieren_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectL1 difference schemeen_US
dc.subjectStabilityen_US
dc.subjectError estimationen_US
dc.subjectGeneralized-Caputo derivativeen_US
dc.titleA novel L1-Predictor-Corrector method for the numerical solution of the generalized-Caputo type fractional differential equationsen_US
dc.typeArticleen_US
dspace.entity.typePublication

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