On Hyers-Ulam Mittag-Leffler Stability of Discrete Fractional Duffing Equation With Application on Inverted Pendulum
| dc.contributor.author | Baleanu, D. | |
| dc.contributor.author | Alzabut, J. | |
| dc.contributor.author | Vignesh, D. | |
| dc.contributor.author | Abbas, S. | |
| dc.contributor.author | Selvam, A. G. M. | |
| dc.date.accessioned | 2022-10-11T11:48:03Z | |
| dc.date.accessioned | 2025-09-18T13:26:25Z | |
| dc.date.available | 2022-10-11T11:48:03Z | |
| dc.date.available | 2025-09-18T13:26:25Z | |
| dc.date.issued | 2020 | |
| dc.description | D, Vignesh/0000-0002-9942-4035; Abbas, Syed/0000-0001-5694-2011; Alzabut, Prof. Dr. Jehad/0000-0002-5262-1138 | en_US |
| dc.description.abstract | A human being standing upright with his feet as the pivot is the most popular example of the stabilized inverted pendulum. Achieving stability of the inverted pendulum has become common challenge for engineers. In this paper, we consider an initial value discrete fractional Duffing equation with forcing term. We establish the existence, Hyers-Ulam stability, and Hyers-Ulam Mittag-Leffler stability of solutions for the equation. We consider the inverted pendulum modeled by Duffing equation as an example. The values are tabulated and simulated to show the consistency with theoretical findings. | en_US |
| dc.description.sponsorship | Prince Sultan University [RG-DES-2017-01-17] | en_US |
| dc.description.sponsorship | J. Alzabut would like to thank Prince Sultan University for funding this work through research group Nonlinear Analysis Methods in Applied Mathematics (NAMAM) group number RG-DES-2017-01-17. | en_US |
| dc.identifier.citation | Selvam, A.G.M...et al. (2020). "On Hyers–Ulam Mittag-Leffler stability of discrete fractional Duffing equation with application on inverted pendulum", Advances in Difference Equations, Vol. 2020, No. 1. | en_US |
| dc.identifier.doi | 10.1186/s13662-020-02920-6 | |
| dc.identifier.issn | 1687-1847 | |
| dc.identifier.scopus | 2-s2.0-85090025799 | |
| dc.identifier.uri | https://doi.org/10.1186/s13662-020-02920-6 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/12604 | |
| 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 Duffing Equation | en_US |
| dc.subject | Mittag-Leffler Function | en_US |
| dc.subject | Hyers-Ulam Stability | en_US |
| dc.subject | Inverted Pendulum | en_US |
| dc.subject | 26A33 | en_US |
| dc.subject | 39A30 | en_US |
| dc.title | On Hyers-Ulam Mittag-Leffler Stability of Discrete Fractional Duffing Equation With Application on Inverted Pendulum | en_US |
| dc.title | On Hyers–Ulam Mittag-Leffler stability of discrete fractional Duffing equation with application on inverted pendulum | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | D, Vignesh/0000-0002-9942-4035 | |
| gdc.author.id | Abbas, Syed/0000-0001-5694-2011 | |
| gdc.author.id | Alzabut, Prof. Dr. Jehad/0000-0002-5262-1138 | |
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| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Selvam, George/Aab-6783-2020 | |
| gdc.author.wosid | D, Vignesh/Aai-2924-2021 | |
| gdc.author.wosid | Abbas, Syed/B-2359-2008 | |
| gdc.author.wosid | Alzabut, Prof. Dr. Jehad/T-8075-2018 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Selvam, A. G. M.; Vignesh, D.] Sacred Heart Coll, Dept Math, Tirupattur 635601, Tamil Nadu, India; [Baleanu, D.] Cankaya Univ, Dept Math & Comp Sci, TR-06530 Ankara, Turkey; [Baleanu, D.] Inst Space Sci, Magurele, Romania; [Alzabut, J.] Prince Sultan Univ, Dept Math & Gen Sci, Riyadh 11586, Saudi Arabia; [Abbas, S.] Indian Inst Technol Mandi, Sch Basic Sci, Kamand 175005, HP, India | en_US |
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| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.oaire.keywords | Geometry | |
| gdc.oaire.keywords | Theory and Applications of Fractional Differential Equations | |
| gdc.oaire.keywords | Mathematical analysis | |
| gdc.oaire.keywords | Quantum mechanics | |
| gdc.oaire.keywords | Duffing equation | |
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| gdc.oaire.keywords | QA1-939 | |
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| gdc.oaire.keywords | Stability for nonlinear problems in mechanics | |
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