Particular Solutions of the Confluent Hypergeometric Differential Equation by Using the Nabla Fractional Calculus Operator
| dc.contributor.author | Inc, Mustafa | |
| dc.contributor.author | Tchier, Fairouz | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Yilmazer, Resat | |
| dc.date.accessioned | 2017-04-19T07:25:35Z | |
| dc.date.accessioned | 2025-09-18T13:26:59Z | |
| dc.date.available | 2017-04-19T07:25:35Z | |
| dc.date.available | 2025-09-18T13:26:59Z | |
| dc.date.issued | 2016 | |
| dc.description | Tchier, Fairouz/0000-0001-7855-508X; Inc, Mustafa/0000-0003-4996-8373; Yilmazer, Resat/0000-0002-5059-3882 | en_US |
| dc.description.abstract | In this work; we present a method for solving the second-order linear ordinary differential equation of hypergeometric type. The solutions of this equation are given by the confluent hypergeometric functions (CHFs). Unlike previous studies, we obtain some different new solutions of the equation without using the CHFs. Therefore, we obtain new discrete fractional solutions of the homogeneous and non-homogeneous confluent hypergeometric differential equation (CHE) by using a discrete fractional Nabla calculus operator. Thus, we obtain four different new discrete complex fractional solutions for these equations. | en_US |
| dc.description.sponsorship | Research Center of the Center for Female Scientific and Medical Colleges, Deanship of Scientific Research, King Saud University | en_US |
| dc.description.sponsorship | This research project was supported by a grant from the "Research Center of the Center for Female Scientific and Medical Colleges", Deanship of Scientific Research, King Saud University. | en_US |
| dc.identifier.citation | Yılmazer, R...et al. (2016). Particular solutions of the confluent hypergeometric differential equation by using the nabla fractional calculus operator. Entropy, 18(2). http://dx.doi.org/ 10.3390/e18020049 | en_US |
| dc.identifier.doi | 10.3390/e18020049 | |
| dc.identifier.issn | 1099-4300 | |
| dc.identifier.scopus | 2-s2.0-84960373507 | |
| dc.identifier.uri | https://doi.org/10.3390/e18020049 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/12778 | |
| dc.language.iso | en | en_US |
| dc.publisher | Mdpi | en_US |
| dc.relation.ispartof | Entropy | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Discrete Fractional Calculus | en_US |
| dc.subject | Confluent Hypergeometric Equation | en_US |
| dc.subject | Nabla Operator | en_US |
| dc.title | Particular Solutions of the Confluent Hypergeometric Differential Equation by Using the Nabla Fractional Calculus Operator | en_US |
| dc.title | Particular solutions of the confluent hypergeometric differential equation by using the nabla fractional calculus operator | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Tchier, Fairouz/0000-0001-7855-508X | |
| gdc.author.id | Inc, Mustafa/0000-0003-4996-8373 | |
| gdc.author.id | Yilmazer, Resat/0000-0002-5059-3882 | |
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| gdc.author.wosid | Tchier, Fairouz Tchier/F-5828-2018 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Inc, Mustafa/C-4307-2018 | |
| gdc.author.wosid | Yilmazer, Resat/V-8432-2018 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Yilmazer, Resat; Inc, Mustafa] Firat Univ, Fac Sci, Dept Math, TR-23119 Elazig, Turkey; [Tchier, Fairouz] King Saud Univ, Dept Math, POB 22452, Riyadh 11495, Saudi Arabia; [Baleanu, Dumitru] Cankaya Univ, Dept Math & Comp Sci, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, POB MG-23, RO-76911 Magurele, Romania | en_US |
| gdc.description.issue | 2 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.volume | 18 | en_US |
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| gdc.oaire.keywords | discrete fractional calculus; confluent hypergeometric equation; Nabla operator | |
| gdc.oaire.keywords | Nabla operator | |
| gdc.oaire.keywords | confluent hypergeometric equation | |
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| gdc.oaire.keywords | discrete fractional calculus | |
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