The Mean Value Theorem and Taylor's Theorem for Fractional Derivatives With Mittag-Leffler Kernel
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Fernandez, Arran | |
| dc.date.accessioned | 2019-12-23T14:01:44Z | |
| dc.date.accessioned | 2025-09-18T14:09:17Z | |
| dc.date.available | 2019-12-23T14:01:44Z | |
| dc.date.available | 2025-09-18T14:09:17Z | |
| dc.date.issued | 2018 | |
| dc.description | Fernandez, Arran/0000-0002-1491-1820 | en_US |
| dc.description.abstract | We establish analogues of the mean value theorem and Taylor's theorem for fractional differential operators defined using a Mittag-Leffler kernel. We formulate a new model for the fractional Boussinesq equation by using this new Taylor series expansion. | en_US |
| dc.description.sponsorship | Engineering and Physical Sciences Research Council, UK | en_US |
| dc.description.sponsorship | The first author is funded by a grant from the Engineering and Physical Sciences Research Council, UK. | en_US |
| dc.identifier.citation | Fernandez, Arran; Baleanu, Dumitru, "The mean value theorem and Taylor's theorem for fractional derivatives with Mittag-Leffler kernel", Advances in Difference Equations, (March 2018). | en_US |
| dc.identifier.doi | 10.1186/s13662-018-1543-9 | |
| dc.identifier.issn | 1687-1847 | |
| dc.identifier.scopus | 2-s2.0-85043585677 | |
| dc.identifier.uri | https://doi.org/10.1186/s13662-018-1543-9 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/13347 | |
| dc.language.iso | en | en_US |
| dc.publisher | Pushpa Publishing House | en_US |
| dc.relation.ispartof | Advances in Difference Equations | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Fractional Calculus | en_US |
| dc.subject | Mean Value Theorem | en_US |
| dc.subject | Taylor'S Theorem | en_US |
| dc.subject | Mittag-Leffler Kernel | en_US |
| dc.title | The Mean Value Theorem and Taylor's Theorem for Fractional Derivatives With Mittag-Leffler Kernel | en_US |
| dc.title | The mean value theorem and Taylor's theorem for fractional derivatives with Mittag-Leffler kernel | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Fernandez, Arran/0000-0002-1491-1820 | |
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| gdc.author.wosid | Fernandez, Arran/E-7134-2019 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Fernandez, Arran] Univ Cambridge, Dept Appl Math & Theoret Phys, Cambridge, England; [Baleanu, Dumitru] Cankaya Univ, Dept Math, Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele, Romania | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.volume | 2018 | |
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| gdc.oaire.keywords | Mean value theorem | |
| gdc.oaire.keywords | Fractional Differential Equations | |
| gdc.oaire.keywords | Theory and Applications of Fractional Differential Equations | |
| gdc.oaire.keywords | Mathematical analysis | |
| gdc.oaire.keywords | Mittag–Leffler kernel | |
| gdc.oaire.keywords | Convergence Analysis of Iterative Methods for Nonlinear Equations | |
| gdc.oaire.keywords | Differential equation | |
| gdc.oaire.keywords | QA1-939 | |
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| gdc.oaire.keywords | Taylor series | |
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| gdc.oaire.keywords | Time-Fractional Diffusion Equation | |
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| gdc.oaire.keywords | Taylor's theorem | |
| gdc.oaire.keywords | Mean value theorem (divided differences) | |
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| gdc.oaire.keywords | Fractional calculus | |
| gdc.oaire.keywords | Partial differential equation | |
| gdc.oaire.keywords | Applied mathematics | |
| gdc.oaire.keywords | Fractional Derivatives | |
| gdc.oaire.keywords | Taylor’s theorem | |
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| gdc.oaire.keywords | Ordinary differential equation | |
| gdc.oaire.keywords | fractional calculus | |
| gdc.oaire.keywords | Mittag-Leffler functions and generalizations | |
| gdc.oaire.keywords | Fractional derivatives and integrals | |
| gdc.oaire.keywords | Mittag-Leffler kernel | |
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