Dynamical Study of Fractional Order Tumor Model
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[1] A. Perelson,et al. Nonlinear dynamics of immunogenic tumors: parameter estimation and global bifurcation analysis. , 1994, Bulletin of mathematical biology.
[2] Steven M. Wise,et al. A stable scheme for a nonlinear, multiphase tumor growth model with an elastic membrane , 2014, International journal for numerical methods in biomedical engineering.
[3] H. I. Freedman,et al. A mathematical model for the effect of anti-angiogenic therapy in the treatment of cancer tumours by chemotherapy , 2013 .
[4] Cha'o-Kuang Chen,et al. Application of differential transformation to eigenvalue problems , 1996 .
[5] Alexander P. Krishchenko,et al. On the global dynamics of one cancer tumour growth model , 2014, Commun. Nonlinear Sci. Numer. Simul..
[6] Nicholas Ayache,et al. Radiotherapy planning for glioblastoma based on a tumor growth model: improving target volume delineation , 2013, Physics in medicine and biology.
[7] J. Uhr,et al. Cancer dormancy: studies of the murine BCL1 lymphoma. , 1991, Cancer research.
[8] Ahmed Alawneh,et al. Solving the fractional nonlinear Bloch system using the multi-step generalized differential transform method , 2014, Comput. Math. Appl..
[9] D. Ganji,et al. Motion of a spherical particle on a rotating parabola using Lagrangian and high accuracy Multi-step Differential Transformation Method , 2014 .
[10] K. B. Oldham,et al. The Fractional Calculus: Theory and Applications of Differentiation and Integration to Arbitrary Order , 1974 .
[11] Konstantin E. Starkov,et al. Global dynamics of the Kirschner–Panetta model for the tumor immunotherapy , 2013 .
[12] Kuznetsov Va. A mathematical model for the interaction between cytotoxic T lymphocytes and tumour cells. Analysis of the growth, stabilization, and regression of a B-cell lymphoma in mice chimeric with respect to the major histocompatibility complex. , 1991, Biomedical science.
[13] V. P. Zhivoglyadov,et al. Kinetic approach and estimation of the parameters of cellular interaction between the immunity system and a tumor. , 1993, Archivum immunologiae et therapiae experimentalis.
[15] Yongsheng Ding,et al. A fractional-order differential equation model of HIV infection of CD4+ T-cells , 2009, Math. Comput. Model..
[16] H. Srivastava,et al. Theory and Applications of Fractional Differential Equations , 2006 .
[17] H. Srivastava,et al. Theory and Applications of Fractional Differential Equations, Volume 204 (North-Holland Mathematics Studies) , 2006 .
[18] Ming-Jyi Jang,et al. On solving the initial-value problems using the differential transformation method , 2000, Appl. Math. Comput..
[19] K. Miller,et al. An Introduction to the Fractional Calculus and Fractional Differential Equations , 1993 .
[20] H. Aminikhah,et al. Generalized Differential Transform Method for Solving Discrete Complex Cubic Ginzburg–Landau Equation , 2015 .
[21] Ahmet Yildirim,et al. Adaptive multi-step differential transformation method to solving nonlinear differential equations , 2012, Math. Comput. Model..
[22] Elif Demirci,et al. A fractional order SEIR model with vertical transmission , 2011, Math. Comput. Model..
[23] M. A. Aziz-Alaoui,et al. A multi-step differential transform method and application to non-chaotic or chaotic systems , 2010, Comput. Math. Appl..