Numerical Simulation of Initial Value Problems With Generalized Caputo-Type Fractional Derivatives
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Odibat, Zaid | |
| dc.date.accessioned | 2022-08-23T08:02:12Z | |
| dc.date.accessioned | 2025-09-18T12:06:48Z | |
| dc.date.available | 2022-08-23T08:02:12Z | |
| dc.date.available | 2025-09-18T12:06:48Z | |
| dc.date.issued | 2020 | |
| dc.description.abstract | We introduce a new generalized Caputo-type fractional derivative which generalizes Caputo fractional derivative. Some characteristics were derived to display the new generalized derivative features. Then, we present an adaptive predictor corrector method for the numerical solution of generalized Caputo-type initial value problems. The proposed algorithm can be considered as a fractional extension of the classical Adams-Bashforth-Moulton method. Dynamic behaviors of some fractional derivative models are numerically discussed. We believe that the presented generalized Caputo-type fractional derivative and the proposed algorithm are expected to be further used to formulate and simulate many generalized Caputo type fractional models. (C) 2020 IMACS. Published by Elsevier B.V. All rights reserved. | en_US |
| dc.identifier.citation | Odibat, Zaid; Baleanu, Dumitru (2020). "Numerical simulation of initial value problems with generalized Caputo-type fractional derivatives", APPLIED NUMERICAL MATHEMATICS, Vol.156 pp. 94-105. | en_US |
| dc.identifier.doi | 10.1016/j.apnum.2020.04.015 | |
| dc.identifier.issn | 0168-9274 | |
| dc.identifier.issn | 1873-5460 | |
| dc.identifier.scopus | 2-s2.0-85083818211 | |
| dc.identifier.uri | https://doi.org/10.1016/j.apnum.2020.04.015 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/11002 | |
| dc.language.iso | en | en_US |
| dc.publisher | Elsevier | en_US |
| dc.relation.ispartof | Applied Numerical Mathematics | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Generalized Caputo Derivative | en_US |
| dc.subject | Adaptive Predictor-Corrector Algorithm | en_US |
| dc.subject | Adams-Bashforth-Moulton Method | en_US |
| dc.subject | Chaos | en_US |
| dc.subject | Numerical Solution | en_US |
| dc.title | Numerical Simulation of Initial Value Problems With Generalized Caputo-Type Fractional Derivatives | en_US |
| dc.title | Numerical simulation of initial value problems with generalized Caputo-type fractional derivatives | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.wosid | Odibat, Zaid/K-7229-2015 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Odibat, Zaid] Al Balqa Appl Univ, Fac Sci, Dept Math, Salt 19117, Jordan; [Baleanu, Dumitru] Cankaya Univ, Fac Arts & Sci, Dept Math, Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Bucharest, Romania; [Baleanu, Dumitru] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan | en_US |
| gdc.description.endpage | 105 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 94 | en_US |
| gdc.description.volume | 156 | en_US |
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| gdc.oaire.keywords | Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations | |
| gdc.oaire.keywords | Adams-Bashforth-Moulton method | |
| gdc.oaire.keywords | generalized Caputo derivative | |
| gdc.oaire.keywords | Fractional ordinary differential equations | |
| gdc.oaire.keywords | adaptive predictor-corrector algorithm | |
| gdc.oaire.keywords | Numerical methods for initial value problems involving ordinary differential equations | |
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