References

Agarwal, R.P., A.M. El-Sayed and S.M. Salman, 2013. Fractional-order Chua’s system: Discretization, bifurcation and chaos. Adv. Difference Equ., 2013: 320-333.
Direct Link  |  

Ahmed, E., A. Hashish and F.A. Rihan, 2012. On fractional order cancer model. J. Fractional Calculus Appl. Anal., 3: 1-6.
Direct Link  |  

Arafa, A.A.M., S.Z. Rida and M. Khalil, 2012. Fractional modeling dynamics of HIV and CD4+ T- cells during primary infection. Nonlinear Biomed. Phys., 6: 1-7.
PubMed  |  Direct Link  |  

Bellomo, N., A. Bellouquid, J. Nieto and J. Soler, 2010. Multiscale biological tissue models and flux-limited chemotaxis for multicellular growing systems. Math. Models Methods Appl. Sci., 20: 1179-1207.
Direct Link  |  

Cole, K.S., 1933. Electric conductance of biological systems. Cold Spring Harbor Symp. Quant. Biol., 1: 107-116.
CrossRef  |  Direct Link  |  

El-Sayed, A.M.A. and S.M. Salman, 2013. On a discretization process of fractional-order Riccati differential equation. J. Fract. Calc. Appl., 4: 251-259.
Direct Link  |  

El-Sayed, A.M.A., A.E.M. El-Mesiry and H.A.A. El-Saka, 2007. On the fractional-order logistic equation. Appl. Math. Lett., 20: 817-823.
CrossRef  |  Direct Link  |  

El-Shahed, M., J.J. Nieto, A.M. Ahmed and I.M.E. Abdelstar, 2017. Fractional-order model for biocontrol of the lesser date moth in palm trees and its discretization. Adv. Difference Equ., 2017: 295-311.
CrossRef  |  Direct Link  |  

Elsadany, A.A. and A.E. Matouk, 2015. Dynamical behaviors of fractional-order Lotka-Volterra predator-prey model and its discretization. J. Appl. Math. Comput., 49: 269-283.
Direct Link  |  

Garg, M., P. Manohar and S.L. Kalla, 2011. Generalized differential transform method to space-time fractional telegraph equation. Intl. J. Differ. Equ., 2011: 1-9.
Direct Link  |  

Gokdogan, A., A. Yildirim and M. Merdan, 2011. Solving a fractional order model of HIV infection of CD4+ T cells. Math. Comput. Modell., 54: 2132-2138.
CrossRef  |  Direct Link  |  

Keskin, Y. and G. Oturanc, 2009. Reduced differential transform method for partial differential equations. Int. J. Nonlinear Sci. Numer. Simul., 10: 741-750.
CrossRef  |  Direct Link  |  

Keskin, Y. and G. Oturanc, 2010. Reduced differential transform method for solving linear and nonlinear wave equations. Iran. J. Sci. Technol. Trans. A, 34: 113-122.
CrossRef  |  Direct Link  |  

Kirschner, D. and J.C. Panetta, 1998. Modeling immunotherapy of the tumor-immune interaction. J. Math. Biol., 37: 235-252.
CrossRef  |  PubMed  |  Direct Link  |  

Oldham, K.B. and J. Spanier, 1974. The Fractional Calculus. 1st Edn., Academic Press, New York.

Rihan, F.A., 2013. Numerical modeling of fractional-order biological systems. Abstract Appl. Anal., 2013: 1-11.
Direct Link  |  

Rihan, F.A., M. Safan, M.A. Abdeen and D.A. Rahman, 2012. Qualitative and computational analysis of a mathematical model for tumor-immune interactions. J. Appl. Math., 2012: 1-19.
Direct Link  |  

Sabatier, J., O.P. Agrawal and J.A.T. Machado, 2007. Advances in Fractional Calculus: Theoretical Developments and Applications in Physics and Engineering. Vol. 4, Springer, Dordrecht, Netherlands, ISBN-13:978-1-4020-6042-7, Pages: 549.

Xu, H., 2009. Analytical approximations for a population growth model with fractional order. Commun. Nonlinear Sci. Numer. Simul., 14: 1978-1983.
Direct Link  |  

Yafia, R., 2007. Hopf bifurcation in differential equations with delay for tumor-immune system competition model. SIAM. J. Appl. Math., 67: 1693-1703.
Direct Link  |