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https://open.uns.ac.rs/handle/123456789/8701
Nаziv: | Two compartmental fractional derivative model with fractional derivatives of different order | Аutоri: | Popović J. Pilipović, Dragana Atanacković-Jeličić, J. |
Dаtum izdаvаnjа: | 1-сеп-2013 | Čаsоpis: | Communications in Nonlinear Science and Numerical Simulation | Sažetak: | This study presents a new two compartmental model that contains fractional derivatives of different order. The model is so formulated that the mass balance is preserved. In this way we give an answer on a claim that such a model is not possible. The generalization that includes nonlinear terms and fractional order dynamics between compartments is also discussed. We derived a physically correct two compartmental system (i.e., the one preserving the mass balance) by the use of the Taylor expansion formula. Moreover, we derived in the Appendix such a system preserving the mass balance without the use of the Taylor formula but by the use of mass balance for systems with equal order fractional derivatives. © 2013 Elsevier B.V. | URI: | https://open.uns.ac.rs/handle/123456789/8701 | ISSN: | 10075704 | DOI: | 10.1016/j.cnsns.2013.01.004 |
Nаlаzi sе u kоlеkciјаmа: | FTN Publikacije/Publications |
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