A FRACTIONAL ORDER MODEL ON BILINGUALISM

Yusuf Sofuoglu; Nuri Ozalp

doi:10.1501/Commua1_0000000713

A FRACTIONAL ORDER MODEL ON BILINGUALISM

Year 2014, Volume: 63 Issue: 2, 81 - 89, 01.08.2014

Yusuf Sofuoglu Nuri Ozalp

https://doi.org/10.1501/Commua1_0000000713

Keywords

Fractional differential equations, bilingualism

References

I. Baggs, H.I. Freedman, A mathematical model for the dynamical interactions between a unilingual and bilingual population: persistence versus extinction, J. Math. Sociol. 16 (1990) 51–75.
H. Xu, Analytical approximations for a population growth model with fractional order, Com- munications in Nonlinear Sciense and Numerical Simulation 14 (2009) 1978-1983.
I. Podlubny, Fractional Diğerential Equations, Academic Press, San Diego, 1999.
N. Özalp, E. Demirci, A fractional order SEIR model with vertical transmission, Mathematical and Computer Modelling 54 (2011) 1-6.
E. Ahmed, A.M.A. El-Sayed, H.A.A. El-Saka, Equilibrium points, stability and numerical so- lutions of fractional-order predator-prey and rabies models, Journal of Mathematical Analysis and Applications 325(2007) 542-553.
D. Matignon, Stability results for fractional diğerential equations with applications to control processing. In:Computational Eng. in Sys. Appl., vol. 2. Lille, France, p. 963, 1996.
E. Demirci, N. Özalp, A method for solving diğerential equations of fractional order, Journal of Computational and Applied Mathematics 236 (2012) 2754-2762.
K. Diethelm, J.F. Neville, D.F. Alan, A predictor-corrector approach for the numerical solution of fractional diğerential equations, Nonlinear Dynamics 29 (2002) 3-22. Current address : Ankara University, Faculty of Sciences, Department of Mathematics,06100
Besevler, Ankara, Turkey E-mail address : ysofuoglu@ankara.edu.tr Current address : Ankara University, Faculty of Sciences, Department of Mathematics,06100
Besevler, Ankara, Turkey E-mail address : nozalp@science.ankara.edu.tr

Year 2014, Volume: 63 Issue: 2, 81 - 89, 01.08.2014

Yusuf Sofuoglu Nuri Ozalp

https://doi.org/10.1501/Commua1_0000000713

References

I. Baggs, H.I. Freedman, A mathematical model for the dynamical interactions between a unilingual and bilingual population: persistence versus extinction, J. Math. Sociol. 16 (1990) 51–75.
H. Xu, Analytical approximations for a population growth model with fractional order, Com- munications in Nonlinear Sciense and Numerical Simulation 14 (2009) 1978-1983.
I. Podlubny, Fractional Diğerential Equations, Academic Press, San Diego, 1999.
N. Özalp, E. Demirci, A fractional order SEIR model with vertical transmission, Mathematical and Computer Modelling 54 (2011) 1-6.
E. Ahmed, A.M.A. El-Sayed, H.A.A. El-Saka, Equilibrium points, stability and numerical so- lutions of fractional-order predator-prey and rabies models, Journal of Mathematical Analysis and Applications 325(2007) 542-553.
D. Matignon, Stability results for fractional diğerential equations with applications to control processing. In:Computational Eng. in Sys. Appl., vol. 2. Lille, France, p. 963, 1996.
E. Demirci, N. Özalp, A method for solving diğerential equations of fractional order, Journal of Computational and Applied Mathematics 236 (2012) 2754-2762.
K. Diethelm, J.F. Neville, D.F. Alan, A predictor-corrector approach for the numerical solution of fractional diğerential equations, Nonlinear Dynamics 29 (2002) 3-22. Current address : Ankara University, Faculty of Sciences, Department of Mathematics,06100
Besevler, Ankara, Turkey E-mail address : ysofuoglu@ankara.edu.tr Current address : Ankara University, Faculty of Sciences, Department of Mathematics,06100
Besevler, Ankara, Turkey E-mail address : nozalp@science.ankara.edu.tr

There are 10 citations in total.

Details

Primary Language	English
Journal Section	Research Articles
Authors	Yusuf Sofuoglu This is me Nuri Ozalp This is me
Publication Date	August 1, 2014
Published in Issue	Year 2014 Volume: 63 Issue: 2

Cite

APA	Sofuoglu, Y., & Ozalp, N. (2014). A FRACTIONAL ORDER MODEL ON BILINGUALISM. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 63(2), 81-89. https://doi.org/10.1501/Commua1_0000000713
AMA	Sofuoglu Y, Ozalp N. A FRACTIONAL ORDER MODEL ON BILINGUALISM. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. August 2014;63(2):81-89. doi:10.1501/Commua1_0000000713
Chicago	Sofuoglu, Yusuf, and Nuri Ozalp. “A FRACTIONAL ORDER MODEL ON BILINGUALISM”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 63, no. 2 (August 2014): 81-89. https://doi.org/10.1501/Commua1_0000000713.
EndNote	Sofuoglu Y, Ozalp N (August 1, 2014) A FRACTIONAL ORDER MODEL ON BILINGUALISM. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 63 2 81–89.
IEEE	Y. Sofuoglu and N. Ozalp, “A FRACTIONAL ORDER MODEL ON BILINGUALISM”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 63, no. 2, pp. 81–89, 2014, doi: 10.1501/Commua1_0000000713.
ISNAD	Sofuoglu, Yusuf - Ozalp, Nuri. “A FRACTIONAL ORDER MODEL ON BILINGUALISM”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 63/2 (August 2014), 81-89. https://doi.org/10.1501/Commua1_0000000713.
JAMA	Sofuoglu Y, Ozalp N. A FRACTIONAL ORDER MODEL ON BILINGUALISM. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2014;63:81–89.
MLA	Sofuoglu, Yusuf and Nuri Ozalp. “A FRACTIONAL ORDER MODEL ON BILINGUALISM”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 63, no. 2, 2014, pp. 81-89, doi:10.1501/Commua1_0000000713.
Vancouver	Sofuoglu Y, Ozalp N. A FRACTIONAL ORDER MODEL ON BILINGUALISM. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2014;63(2):81-9.