On the Analysis of Fractional Diabetes Model With Exponential Law
| dc.contributor.author | Kumar, Devendra | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Singh, Jagdev | |
| dc.date.accessioned | 2019-12-20T12:37:01Z | |
| dc.date.accessioned | 2025-09-18T12:09:23Z | |
| dc.date.available | 2019-12-20T12:37:01Z | |
| dc.date.available | 2025-09-18T12:09:23Z | |
| dc.date.issued | 2018 | |
| dc.description | Kumar, Devendra/0000-0003-4249-6326 | en_US |
| dc.description.abstract | In this work, we study the diabetes model and its complications with the Caputo-Fabrizio fractional derivative. A deterministic mathematical model pertaining to the fractional derivative of the diabetes mellitus is discussed. The analytical solution of the diabetes model is derived by exerting the homotopy analysis method, the Laplace transform and the Pade approximation. Moreover, existence and uniqueness of the solution are examined by making use of fixed point theory and the Picard-Lindelof approach. Ultimately, for illustrating the obtained results some numerical simulations are performed. | en_US |
| dc.identifier.citation | Singh, Jagdev; Kumar, Devendra; Baleanu, Dumitru (2018). On the analysis of fractional diabetes model with exponential law, Advances in Difference Equations. | en_US |
| dc.identifier.doi | 10.1186/s13662-018-1680-1 | |
| dc.identifier.issn | 1687-1847 | |
| dc.identifier.scopus | 2-s2.0-85049368790 | |
| dc.identifier.uri | https://doi.org/10.1186/s13662-018-1680-1 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/11390 | |
| 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 Diabetes Model | en_US |
| dc.subject | Picard-Lindelof Approach | en_US |
| dc.subject | Fixed Point Theorem | en_US |
| dc.subject | Homotopy Analysis Method | en_US |
| dc.subject | Laplace Transform | en_US |
| dc.title | On the Analysis of Fractional Diabetes Model With Exponential Law | en_US |
| dc.title | On the analysis of fractional diabetes model with exponential law | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.wosid | Singh, Jagdev/Aac-1015-2019 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Kumar, Devendra/B-9638-2017 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Singh, Jagdev] JECRC Univ, Dept Math, Jaipur, Rajasthan, India; [Kumar, Devendra] Univ Rajasthan, Dept Math, Jaipur, Rajasthan, India; [Baleanu, Dumitru] Cankaya Univ, Fac Arts & Sci, Dept Math, Etimesgut, 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 | Financial economics | |
| gdc.oaire.keywords | Laplace transform | |
| gdc.oaire.keywords | Economics | |
| gdc.oaire.keywords | Theory and Applications of Fractional Differential Equations | |
| gdc.oaire.keywords | Mathematical analysis | |
| gdc.oaire.keywords | Convergence Analysis of Iterative Methods for Nonlinear Equations | |
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| gdc.oaire.keywords | Anomalous Diffusion Modeling and Analysis | |
| gdc.oaire.keywords | Fractional diabetes model | |
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| gdc.oaire.keywords | Applied Mathematics | |
| gdc.oaire.keywords | Exponential function | |
| gdc.oaire.keywords | Fractional calculus | |
| gdc.oaire.keywords | Pure mathematics | |
| gdc.oaire.keywords | Partial differential equation | |
| gdc.oaire.keywords | Applied mathematics | |
| gdc.oaire.keywords | Fractional Derivatives | |
| gdc.oaire.keywords | Homotopy analysis method | |
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| gdc.oaire.keywords | Fractional derivatives and integrals | |
| gdc.oaire.keywords | Medical applications (general) | |
| gdc.oaire.keywords | Theoretical approximation of solutions to ordinary differential equations | |
| gdc.oaire.keywords | fractional diabetes model | |
| gdc.oaire.keywords | Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. | |
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