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فهرست نشریات دارای اعتبار وزارت علوم، تحقیقات و فناوری
پایگاه استنادی علوم جهان اسلام (ISC)

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Shafipour, Saede, katani, Roghayeh. (1403). Convergence analysis for piecewise Lagrange interpolation method of fractal fractional model of tumor-immune interaction with two different kernels. سامانه مدیریت نشریات علمی, 13(1), 169-182. doi: 10.22034/cmde.2024.58991.2501
Saede Shafipour; Roghayeh katani. "Convergence analysis for piecewise Lagrange interpolation method of fractal fractional model of tumor-immune interaction with two different kernels". سامانه مدیریت نشریات علمی, 13, 1, 1403, 169-182. doi: 10.22034/cmde.2024.58991.2501
Shafipour, Saede, katani, Roghayeh. (1403). 'Convergence analysis for piecewise Lagrange interpolation method of fractal fractional model of tumor-immune interaction with two different kernels', سامانه مدیریت نشریات علمی, 13(1), pp. 169-182. doi: 10.22034/cmde.2024.58991.2501
Shafipour, Saede, katani, Roghayeh. Convergence analysis for piecewise Lagrange interpolation method of fractal fractional model of tumor-immune interaction with two different kernels. سامانه مدیریت نشریات علمی, 1403; 13(1): 169-182. doi: 10.22034/cmde.2024.58991.2501

Convergence analysis for piecewise Lagrange interpolation method of fractal fractional model of tumor-immune interaction with two different kernels

Computational Methods for Differential Equations
مقاله 12، دوره 13، شماره 1، فروردین 2025، صفحه 169-182    اصل مقاله (3.03 M)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2024.58991.2501
نویسندگان
Saede Shafipour؛ Roghayeh katani*
Faculty of Sciences, Yasouj University, Yasouj, Iran.
چکیده
Ahmad et al. (see [1]) presented a piecewise Lagrange interpolation method for solving tumor-immune interaction models with fractal fractional operators using a power law and exponential kernel. We suggest a convergence analysis for this method and we obtain the order of convergence. Of course, there are some mistakes in this numerical method that were corrected. Furthermore, Numerical illustrations are demonstrated to show the effectiveness of the corrected numerical method.
کلیدواژه‌ها
Tumor-immune interaction؛ Fractal fractional model؛ Piecewise Lagrange interpolation؛ Convergence order
مراجع
  • [1] S. Ahmad, A. Ullah, A. Akgu¨l, and D. Baleanu, Theoretical and numerical analysis of fractal fractional model of tumor-immune interaction with two different kernels, Alex. Eng. J., 61 (2022), 5735-5752.
  • [2] A. Atangana, Fractal-fractional differentiation and integration: Connecting fractal calculus and fractional calculus to predict complex system, Chaos, Solitons and Fractals, (2017), 1-11.
  • [3] F. Castiglione and B. Piccoli, Optimal control in a model of dendritic cell transfection cancer immunotherapy, Bull. Math. Biol., 68 (2006), 255-274.
  • [4] F. Castiglione and B. Piccoli, Cancer immunotheraphy, mathematical modeling and optimal control, J. Theor. Biol., 247 (2007), 723-732.
  • [5] K. Diethelm, The Analysis of Fractional Differential Equations, Springer 2010.
  • [6] R. M. Evans, U. N. Katugampola, and D. A. Edwards, Apllication of fractional calculus in solving Abel-volume reaction problem, Comput. Math. Appl., 73 (2017), 1346-1362.
  • [7] R. A. Goldsby, T. J. Kindt, and B. A. Osborne, Kuby Immunology, fourth ed. NY. Freeman, 2000.
  • [8] R. Katani, Numerical solution of a fractional order model of HIV infection of CD4+T cells, Mathematical Researches, 8(1) (2022), 104-118.
  • [9] A. Quarteroni and A. Valli, Numerical Approximation of Partial Differential Equations, Springer, Berlin, 23 (2008).
  • [10] J. Stoer and R. Bulirsch, Introduction to Numerical Analysis, Springer, (1992).
  • [11] O. Tun¸c, O. Atan, C. Tun¸c, and J. C. Yao,¨ Qualitative analyses of integro-fractional differential equations with Caputo derivatives and retardations via the Lyapunov-Razumikhin method, Axioms, 10(2) (2021), 58.
  • [12] O. Tun¸c and C. Tun¸c, Solution estimates to Caputo proportional fractional derivative delay integro-differential equations, Rev. Real Acad. Cienc. Exactas Fis. Nat. Ser. A-Mat., 117(12) (2023).
  • [13] Z. U. Zafar, S. Zaib, M. T. Hussain, C. Tunc¸, and S. Javeed, Analysis and numerical simulation of tuberculosis model using different fractional derivatives, Chaos Solution Fract., 160 (2022), 112202.
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