A different approach for behavior of fractional plant virus model
Volume 15, Issue 3, pp 186--202
http://dx.doi.org/10.22436/jnsa.015.03.02
Publication Date: March 09, 2022
Submission Date: December 15, 2021
Revision Date: January 10, 2022
Accteptance Date: January 20, 2022
Authors
I. Koca
- Department of Accounting and Financial Management, Seydikemer School of Applied Sciences, Mugla Sitki Kocman University, Mugla, Turkey.
H. Bulut
- Department of Mathematics, Science Faculty, Firat University, 23119 Elazig, Turkey.
E. Akcetin
- Department of Accounting and Financial Management, Seydikemer School of Applied Sciences, Mugla Sitki Kocman University, Mugla, Turkey.
Abstract
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.
Share and Cite
ISRP Style
I. Koca, H. Bulut, E. Akcetin, A different approach for behavior of fractional plant virus model, Journal of Nonlinear Sciences and Applications, 15 (2022), no. 3, 186--202
AMA Style
Koca I., Bulut H., Akcetin E., A different approach for behavior of fractional plant virus model. J. Nonlinear Sci. Appl. (2022); 15(3):186--202
Chicago/Turabian Style
Koca, I., Bulut, H., Akcetin, E.. "A different approach for behavior of fractional plant virus model." Journal of Nonlinear Sciences and Applications, 15, no. 3 (2022): 186--202
Keywords
- Fractional differential equation
- existence and uniqueness
- numerical approximation
MSC
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