A Novel Collocated-Shifted Lucas Polynomial Approach for Fractional Integro-Differential Equations
| dc.contributor.author | Kumar, R. | |
| dc.contributor.author | Srivastava, K. | |
| dc.contributor.author | Baleanu, D. | |
| dc.contributor.author | Koundal, R. | |
| dc.date.accessioned | 2022-03-02T07:08:09Z | |
| dc.date.accessioned | 2025-09-18T12:10:00Z | |
| dc.date.available | 2022-03-02T07:08:09Z | |
| dc.date.available | 2025-09-18T12:10:00Z | |
| dc.date.issued | 2021 | |
| dc.description.abstract | In current analysis, a novel computational approach depending on shifted Lucas polynomials (SLPs) and collocation points is established for fractional integro-differential equations (FIDEs) of Volterra/Fredholm type. A definition for integer order derivative and the lemma for fractional derivative of SLPs are developed. To convert the given equations into algebraic set of equations, zeros of the Lucas polynomial are used as collocation points. Novel theorems for convergence and error analysis are developed to design rigorous mathematical basis for the scheme. Accuracy is proclaimed through comparison with other known methods. © 2021, The Author(s), under exclusive licence to Springer Nature India Private Limited. | en_US |
| dc.description.sponsorship | Central University of Himachal Pradesh; Department of Science and Technology, Ministry of Science and Technology, India, डीएसटी; Ministry of Science and Technology, Israel, (/WOS-A/PM-20/2018); Ministry of Science and Technology, Israel | en_US |
| dc.identifier.citation | Koundal, R...at all (2021). "A Novel Collocated-Shifted Lucas Polynomial Approach for Fractional Integro-Differential Equations", International Journal of Applied and Computational Mathematics, Vol. 7, No. 4. | en_US |
| dc.identifier.doi | 10.1007/s40819-021-01108-0 | |
| dc.identifier.issn | 2349-5103 | |
| dc.identifier.issn | 2199-5796 | |
| dc.identifier.scopus | 2-s2.0-85111695586 | |
| dc.identifier.uri | https://doi.org/10.1007/s40819-021-01108-0 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/11560 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer | en_US |
| dc.relation.ispartof | International Journal of Applied and Computational Mathematics | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Collocation Point | en_US |
| dc.subject | Explicit Formula | en_US |
| dc.subject | Fractional Integro-Differential Equations | en_US |
| dc.subject | Shifted Lucas Polynomial | en_US |
| dc.title | A Novel Collocated-Shifted Lucas Polynomial Approach for Fractional Integro-Differential Equations | en_US |
| dc.title | A Novel Collocated-Shifted Lucas Polynomial Approach for Fractional Integro-Differential Equations | tr_TR |
| dc.type | Article | en_US |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | Koundal R., School of Mathematics, Computer and Information Sciences, Central University of Himachal Pradesh, Dharamshala, India; Kumar R., School of Mathematics, Computer and Information Sciences, Central University of Himachal Pradesh, Dharamshala, India; Kumar R., School of Mathematics, Computer and Information Sciences, Central University of Himachal Pradesh, Dharamshala, India; Srivastava K., School of Mathematics, Computer and Information Sciences, Central University of Himachal Pradesh, Dharamshala, India; Baleanu D., Department of Mathematics, Cankaya University, Eskisehir Yolu29.km, Ankara, 06810, Turkey, Institute of Space Sciences, Magurele-Bucharest, Romania, Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, Taiwan | en_US |
| gdc.description.issue | 4 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.volume | 7 | en_US |
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| gdc.oaire.keywords | Integro-ordinary differential equations | |
| gdc.oaire.keywords | collocation point | |
| gdc.oaire.keywords | explicit formula | |
| gdc.oaire.keywords | Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations | |
| gdc.oaire.keywords | fractional integro-differential equations | |
| gdc.oaire.keywords | shifted Lucas polynomial | |
| gdc.oaire.keywords | Numerical methods for functional-differential equations | |
| gdc.oaire.keywords | Numerical methods for integral equations | |
| gdc.oaire.keywords | Functional-differential equations with fractional derivatives | |
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| gdc.virtual.author | Baleanu, Dumitru | |
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