Study on Application of Hybrid Functions To Fractional Differential Equations
| dc.contributor.author | Baleanu, D. | |
| dc.contributor.author | Torkzadeh, L. | |
| dc.contributor.author | Nouri, K. | |
| dc.date.accessioned | 2020-03-26T08:21:27Z | |
| dc.date.accessioned | 2025-09-18T16:07:35Z | |
| dc.date.available | 2020-03-26T08:21:27Z | |
| dc.date.available | 2025-09-18T16:07:35Z | |
| dc.date.issued | 2018 | |
| dc.description | Nouri, Kazem/0000-0002-7922-5848; Torkzadeh, Leila/0000-0002-2504-4048 | en_US |
| dc.description.abstract | In this study we propose an efficient technique for approximate solution of linear and nonlinear differential equations with fractional order. The operational matrices based upon block-pulse functions and Chebyshev polynomials of the second kind are used for this purpose. Also, we focus on the upper bound of error for performance of the our estimates. The numerical results confirm the convergence of the suggested method. Correspondingly, the obtained results of our method are compared with other approaches in terms of efficiency and accuracy. | en_US |
| dc.description.sponsorship | Research Council of Semnan University; Iran National Science Foundation (INSF) [94802181] | en_US |
| dc.description.sponsorship | This research was supported by the Research Council of Semnan University. Also, the first author was supported in part by the Grant 94802181 from Iran National Science Foundation (INSF). The authors are grateful to the anonymous referees for their careful reading, insightful comments and helpful suggestions, which have led to improvement of the paper. | en_US |
| dc.identifier.citation | Nouri, K.; Baleanu, D.; Torkzadeh, L., "Study on Application of Hybrid Functions to Fractional Differential Equations", Iranian Journal of Science and Technology Transaction a-Science, Vol. 42, No. A3, pp. 1343-1350, (2018). | en_US |
| dc.identifier.doi | 10.1007/s40995-017-0224-y | |
| dc.identifier.issn | 1028-6276 | |
| dc.identifier.issn | 2364-1819 | |
| dc.identifier.scopus | 2-s2.0-85051173941 | |
| dc.identifier.uri | https://doi.org/10.1007/s40995-017-0224-y | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/14808 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer international Publishing Ag | en_US |
| dc.relation.ispartof | Iranian Journal of Science and Technology, Transactions A: Science | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Fractional Differential Equations | en_US |
| dc.subject | Chebyshev Polynomials Of The Second Kind | en_US |
| dc.subject | Block-Pulse Function | en_US |
| dc.subject | Operational Matrix | en_US |
| dc.subject | Hybrid Function | en_US |
| dc.title | Study on Application of Hybrid Functions To Fractional Differential Equations | en_US |
| dc.title | Study on Application of Hybrid Functions to Fractional Differential Equations | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Nouri, Kazem/0000-0002-7922-5848 | |
| gdc.author.id | Torkzadeh, Leila/0000-0002-2504-4048 | |
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| gdc.author.wosid | Nouri, Kazem/Z-3815-2019 | |
| gdc.author.wosid | Torkzadeh, Leila/Hkn-6325-2023 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Nouri, K.; Torkzadeh, L.] Semnan Univ, Fac Math Stat & Comp Sci, Dept Math, POB 35195-363, Semnan, Iran; [Baleanu, D.] Cankaya Univ, Dept Math & Comp Sci, Ankara, Turkey | en_US |
| gdc.description.endpage | 1350 | en_US |
| gdc.description.issue | A3 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 1343 | en_US |
| gdc.description.volume | 42 | en_US |
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| gdc.oaire.keywords | Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) | |
| gdc.oaire.keywords | block-pulse function | |
| gdc.oaire.keywords | hybrid function | |
| gdc.oaire.keywords | operational matrix | |
| gdc.oaire.keywords | Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. | |
| gdc.oaire.keywords | fractional differential equations | |
| gdc.oaire.keywords | Chebyshev polynomials of the second kind | |
| gdc.oaire.keywords | Fractional ordinary differential equations | |
| gdc.oaire.keywords | Nonlinear differential equations in abstract spaces | |
| gdc.oaire.keywords | Theoretical approximation of solutions to ordinary differential equations | |
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| gdc.virtual.author | Baleanu, Dumitru | |
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