Geodesic
A different approach for behavior of fractional plant virus model
Koca, I.1 ; Bulut, H.2 ; Akcetin, E.1
1 Department of Accounting and Financial Management, Seydikemer School of Applied Sciences, Mugla Sitki Kocman University, Mugla, Turkey
2 Department of Mathematics, Science Faculty, Firat University, 23119 Elazig, Turkey
Journal of nonlinear sciences and its applications, Tome 15 (2022) no. 3, p. 186-202.

Voir la notice de l'article provenant de la source International Scientific Research Publications

In the last few decades many authors pointed out that derivatives and integrals of non-integer order are very suitable for the description of properties of various real problems. It has been shown that fractional-order models are more adequate than previously used integer-order models. In this work, we aim to investigate of different features of the plant virus model with its fractional order equivalent. We present an application for reproduction number for these kind of epidemic models with next generation matrix method. Also, existence and uniqueness of solutions have been showed for this fractional order system. Finally we present some figures according to the given numerical scheme.
DOI : 10.22436/jnsa.015.03.02
Classification : 26A33, 34A34, 35B44, 65M06
Keywords: Fractional differential equation, existence and uniqueness, numerical approximation

Koca, I. 1 ; Bulut, H. 2 ; Akcetin, E. 1

1 Department of Accounting and Financial Management, Seydikemer School of Applied Sciences, Mugla Sitki Kocman University, Mugla, Turkey
2 Department of Mathematics, Science Faculty, Firat University, 23119 Elazig, Turkey 
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Koca, I.; Bulut, H.; Akcetin, E. A different approach for behavior of fractional plant virus model. Journal of nonlinear sciences and its applications, Tome 15 (2022) no. 3, p. 186-202. doi : 10.22436/jnsa.015.03.02. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.015.03.02/

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