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Fuzzy fractional diffusion processes and drug release
Fuzzy Sets and Systems ( IF 3.9 ) Pub Date : 2021-04-22 , DOI: 10.1016/j.fss.2021.04.001
M. Keshavarz 1 , T. Allahviranloo 2
Affiliation  

In this paper, the fuzzy fundamental triangular solution of the fractional diffusion equation under Caputo generalized Hukuhara partial differentiability by using the fuzzy Laplace transform and the fuzzy Fourier transform is obtained. As a practical model of the fractional diffusion equations, the fuzzy mathematical model of anti-cancer drug release in the tumor is investigated. Finally, given to the various examples represented, the efficacy and accuracy of the method are examined.



中文翻译:

模糊分数扩散过程和药物释放

本文利用模糊拉普拉斯变换和模糊傅里叶变换得到了Caputo广义Hukuhara偏微分下分数扩散方程的模糊基本三角解。作为分数扩散方程的实用模型,研究了肿瘤中抗癌药物释放的模糊数学模型。最后,结合所代表的各种例子,检验了该方法的有效性和准确性。

更新日期:2021-04-22
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