Analysis and Numerical Solution of the Generalized Proportional Fractional Cauchy Problem
| dc.contributor.author | Baleanu, D. | |
| dc.contributor.author | Makhlouf, Abdellatif Ben | |
| dc.contributor.author | Nagy, A. M. | |
| dc.contributor.author | Boucenna, Djalal | |
| dc.date.accessioned | 2022-03-17T08:17:44Z | |
| dc.date.accessioned | 2025-09-18T13:26:42Z | |
| dc.date.available | 2022-03-17T08:17:44Z | |
| dc.date.available | 2025-09-18T13:26:42Z | |
| dc.date.issued | 2021 | |
| dc.description | Nagy, A. M./0000-0003-4335-6990; Ben Makhlouf, Abdellatif/0000-0001-7142-7026 | en_US |
| dc.description.abstract | In this paper, we explore the existence and uniqueness theorem for a problem of the fractional Cauchy form, with dependence on the generalized proportional Caputo derivative. Furthermore, a new numerical technique is presented based on a decomposition formula for the generalized proportional Caputo derivative. Convergence analysis of the proposed technique is proved. Finally, numerical results are obtained to confirm the validity of the proposed method. (C) 2021 IMACS. Published by Elsevier reserved. | en_US |
| dc.identifier.citation | Boucenna, Djalal...et al. (2021). "Analysis and numerical solution of the generalized proportional fractional Cauchy problem", Applied Numerical Mathematics, Vol. 167, pp. 173-186. | en_US |
| dc.identifier.doi | 10.1016/j.apnum.2021.04.015 | |
| dc.identifier.issn | 0168-9274 | |
| dc.identifier.issn | 1873-5460 | |
| dc.identifier.scopus | 2-s2.0-85105586935 | |
| dc.identifier.uri | https://doi.org/10.1016/j.apnum.2021.04.015 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/12697 | |
| dc.language.iso | en | en_US |
| dc.publisher | Elsevier | en_US |
| dc.relation.ispartof | Applied Numerical Mathematics | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Fractional Differential Equations | en_US |
| dc.subject | Generalized Proportional Fractional Derivative | en_US |
| dc.title | Analysis and Numerical Solution of the Generalized Proportional Fractional Cauchy Problem | en_US |
| dc.title | Analysis and numerical solution of the generalized proportional fractional Cauchy problem | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Nagy, A. M./0000-0003-4335-6990 | |
| gdc.author.id | Ben Makhlouf, Abdellatif/0000-0001-7142-7026 | |
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| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Makhlouf, Abdellatif/Aaj-4782-2021 | |
| gdc.author.wosid | Nagy, A. M./C-3519-2012 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Boucenna, Djalal] High Sch Technol Teaching, Enset, Skikda, Algeria; [Baleanu, D.] Cankaya Univ, Dept Math, Ankara, Turkey; [Baleanu, D.] Inst Space Sci, Bucharest, Romania; [Makhlouf, Abdellatif Ben] Jouf Univ, Math Dept, Coll Sci, POB 2014, Sakaka, Saudi Arabia; [Makhlouf, Abdellatif Ben] Univ Sfax, Fac Sci Sfax, Dept Math, Route Soukra,BP 1171, Sfax 3000, Tunisia; [Nagy, A. M.] Kuwait Univ, Dept Math, Fac Sci, Safat 13060, Kuwait; [Nagy, A. M.] Benha Univ, Dept Math, Fac Sci, Banha 13518, Egypt | en_US |
| gdc.description.endpage | 186 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 173 | en_US |
| gdc.description.volume | 167 | en_US |
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| gdc.oaire.keywords | fractional differential equations | |
| gdc.oaire.keywords | Fractional ordinary differential equations | |
| gdc.oaire.keywords | generalized fractional derivative | |
| gdc.oaire.keywords | Numerical methods for initial value problems involving ordinary differential equations | |
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| gdc.virtual.author | Baleanu, Dumitru | |
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