A Fractional Derivative With Two Singular Kernels and Application To a Heat Conduction Problem
| dc.contributor.author | Jleli, Mohamed | |
| dc.contributor.author | Kumar, Sunil | |
| dc.contributor.author | Samet, Bessem | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.date.accessioned | 2021-01-08T12:47:19Z | |
| dc.date.accessioned | 2025-09-18T16:06:58Z | |
| dc.date.available | 2021-01-08T12:47:19Z | |
| dc.date.available | 2025-09-18T16:06:58Z | |
| dc.date.issued | 2020 | |
| dc.description | Kumar, Dr. Sunil/0000-0003-0620-1068 | en_US |
| dc.description.abstract | In this article, we suggest a new notion of fractional derivative involving two singular kernels. Some properties related to this new operator are established and some examples are provided. We also present some applications to fractional differential equations and propose a numerical algorithm based on a Picard iteration for approximating the solutions. Finally, an application to a heat conduction problem is given. | en_US |
| dc.description.sponsorship | King Saud University, Riyadh, Saudi Arabia [RSP-2019/57] | en_US |
| dc.description.sponsorship | Researchers Supporting Project RSP-2019/57, King Saud University, Riyadh, Saudi Arabia. | en_US |
| dc.identifier.citation | Baleanu, Dumitru...et al. (2020). "A fractional derivative with two singular kernels and application to a heat conduction problem", Advances in Difference Equations, Vol. 2020, No. 1. | en_US |
| dc.identifier.doi | 10.1186/s13662-020-02684-z | |
| dc.identifier.issn | 1687-1847 | |
| dc.identifier.scopus | 2-s2.0-85085470259 | |
| dc.identifier.uri | https://doi.org/10.1186/s13662-020-02684-z | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/14644 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer | en_US |
| dc.relation.ispartof | Advances in Difference Equations | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Fractional Derivative | en_US |
| dc.subject | Two Singular Kernels | en_US |
| dc.subject | Picard Iteration | en_US |
| dc.subject | Heat Conduction Problem | en_US |
| dc.title | A Fractional Derivative With Two Singular Kernels and Application To a Heat Conduction Problem | en_US |
| dc.title | A fractional derivative with two singular kernels and application to a heat conduction problem | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.wosid | , Bessem/Afp-9481-2022 | |
| gdc.author.wosid | Jleli, Mohamed/D-5799-2015 | |
| gdc.author.wosid | Kumar, Sunil/P-7519-2015 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Baleanu, Dumitru] Cankaya Univ, Dept Math, Ankara, Turkey; [Baleanu, Dumitru] China Med Univ, Dept Med Res, China Med Univ Hosp, Taichung, Taiwan; [Baleanu, Dumitru] Inst Space Sci, Dept Med Res, Magurele, Romania; [Jleli, Mohamed; Samet, Bessem] King Saud Univ, Dept Math, Coll Sci, Riyadh, Saudi Arabia; [Kumar, Sunil] Natl Inst Technol, Dept Math, Jharkhand, India | en_US |
| gdc.description.issue | 1 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.volume | 2020 | en_US |
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