A novel L1-Predictor-Corrector method for the numerical solution of the generalized-Caputo type fractional differential equations
| dc.authorid | S M, Sivalingam/0000-0003-0818-9007 | |
| dc.authorid | Kumar, Pushpendra/0000-0002-7755-2837 | |
| dc.authorscopusid | 58413452000 | |
| dc.authorscopusid | 57217132593 | |
| dc.authorscopusid | 7005816677 | |
| dc.authorscopusid | 55363702400 | |
| dc.authorwosid | S M, Sivalingam/HOH-3172-2023 | |
| dc.authorwosid | Kumar, Pushpendra/AAA-1223-2021 | |
| dc.contributor.author | Sivalingam, S. M. | |
| dc.contributor.author | Kumar, Pushpendra | |
| dc.contributor.author | Trinh, Hieu | |
| dc.contributor.author | Govindaraj, V. | |
| dc.date.accessioned | 2024-05-25T11:37:33Z | |
| dc.date.available | 2024-05-25T11:37:33Z | |
| dc.date.issued | 2024 | |
| dc.department | Okan University | en_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, Australia | en_US |
| dc.description | S M, Sivalingam/0000-0003-0818-9007; Kumar, Pushpendra/0000-0002-7755-2837 | en_US |
| dc.description.abstract | This 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.sponsorship | UGC 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.sponsorship | The 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.citationcount | 1 | |
| dc.identifier.doi | 10.1016/j.matcom.2024.01.017 | |
| dc.identifier.endpage | 480 | en_US |
| dc.identifier.issn | 0378-4754 | |
| dc.identifier.issn | 1872-7166 | |
| dc.identifier.scopus | 2-s2.0-85184839930 | |
| dc.identifier.scopusquality | Q1 | |
| dc.identifier.startpage | 462 | en_US |
| dc.identifier.uri | https://doi.org/10.1016/j.matcom.2024.01.017 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14517/1189 | |
| dc.identifier.volume | 220 | en_US |
| dc.identifier.wos | WOS:001185511100001 | |
| dc.identifier.wosquality | Q1 | |
| dc.language.iso | en | |
| dc.publisher | Elsevier | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.scopus.citedbyCount | 12 | |
| dc.subject | L1 difference scheme | en_US |
| dc.subject | Stability | en_US |
| dc.subject | Error estimation | en_US |
| dc.subject | Generalized-Caputo derivative | en_US |
| dc.title | A novel L1-Predictor-Corrector method for the numerical solution of the generalized-Caputo type fractional differential equations | en_US |
| dc.type | Article | en_US |
| dc.wos.citedbyCount | 11 |