تحقيق معادلة تركيز الخلايا الورمية ذات الطراز الكسري باستخدام طريقة الفروق المحدودة

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Khanday MA, Nazir K. Mathematical and numerical analysis of thermal distribution in cancerous tissues under the local heat therapy. Int J Biomath. 2017; 10(7): 1–10. https://doi.org/10.1142/S1793524517500991

Swanson KR, Bridge C, Murray JD, Alvord EC. Virtual and real brain tumors: Using mathematical modeling to quantify glioma growth and invasion. J Neurol Sci. 2003; 216(1): 1–10. https://doi.org/10.1016/j.jns.2003.06.001

Filipovic N, Djukic T, Saveljic I, Milenkovic P, Jovicic G, Djuric M. Modeling of liver metastatic disease with applied drug therapy. Comput Methods Programs Biomed. 2014; 115(3): 162–70. Available from: https://dx.doi.org/10.1016/j.cmpb.2014.04.013

Ghode K, Takale K, Gaikwad S. Traveling Wave Solutions of Fractional Differential Equations Arising in Warm Plasma. Baghdad Sci J. 2023; 20(1(SI)): 0318–0318. https://dx.doi.org/10.21123/bsj.2023.8394

Sonawane J, Sontakke B, Takale K. Approximate Solution of Sub diffusion Bio heat Transfer Equation. Baghdad Sci J.; 20(1(SI)): 0394. https://dx.doi.org/10.21123/bsj.2023.8410

Joshi H, Jha BK. Fractional-order mathematical model for calcium distribution in nerve cells. Comput Appl Math. 2020; 39(2): 1–22. https://doi.org/10.1007/s40314-020-1082-3

Khan AA, Amin R, Ullah S, Sumelka W, Altanji M. Numerical simulation of a Caputo fractional epidemic model for the novel coronavirus with the impact of environmental transmission. Alexandria Eng J. 2022; 61(7): 5083–95. https://doi.org/10.1016/j.aej.2021.10.008

Alzubaidi AM, Othman HA, Ullah S, Ahmad N, Alam MM. Analysis of Monkeypox viral infection with human to animal transmission via a fractional and Fractal-fractional operators with power law kernel. Math Biosci Eng. 2023; 20(4): 6666–90. https://doi.org/10.3934/mbe.2023287

Bolton L, Cloot AHJJ, Schoombie SW, Slabbert JP. A proposed fractional-order Gompertz model and its application to tumour growth data. Math Med Biol. 2015; 32(2): 187–207. https://doi.org/10.1093/imammb/dqt024A

Iyiola OS, Zaman FD. A fractional diffusion equation model for cancer tumor. AIP Adv. 2014; 4(10): 107121. http://dx.doi.org/10.1063/1.4898331

Rihan FA, Velmurugan G. Dynamics of fractional-order delay differential model for tumor-immune system. Chaos Solitons Fractals. 2020; 132: 109592. https://doi.org/10.1016/j.chaos.2019.109592

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Owolabi KM, Atangana A. Numerical Methods for Fractional Differentiation. Springer Series in Computational Mathematics 54. Singapore. 1st Ed. 2019. 328 p. https://doi.org/10.1007/978-981-15-0098-5

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Ali AH, Jaber AS, Yaseen MT, Rasheed M, Bazighifan O, Nofal TA. A Comparison of Finite Difference and Finite Volume Methods with Numerical Simulations: Burgers Equation Model. Complexity. 2022: 1–9. https://doi.org/10.1155/2022/9367638

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Kharde U, Takale K, Gaikwad S. Crank-Nicolson Method For Time Fractional Drug Concentration Equation in Central Nervous System. Adv Appl Math Sci. 2022; 22(2): 407–433.