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Analysis of blood liquor model via nonlocal and singular constant proportional Caputo hybrid differential operator
Mathematical Methods in the Applied Sciences ( IF 2.1 ) Pub Date : 2021-01-20 , DOI: 10.1002/mma.7166
Imran Siddique 1 , Ali Akgül 2
Affiliation  

In this study, a physical scheme called the blood liquor absorption model has been examined in its fractional (non-integer) edict form. The constant proportional Caputo (CPC) hybrid fractional operator with singular and nonlocal kernel has been used to fractionalize the blood alcohol model. The logical solutions of the absorptions of liquor in stomach S(t) and the absorptions of liquor in the blood B(t) have been explored by using the Laplace transform technique and are stated in the forms of the generalized G-functions Ga, b, c(·) and the bivariate Mittage–Leffler functions. Further, we present a detailed analysis including numerical explanation and stability analysis.

中文翻译:

基于非局部奇异常数比例Caputo混合微分算子的血液模型分析

在这项研究中,一种称为血液吸收模型的物理方案已经以其分数(非整数)法令形式进行了检查。具有奇异和非局部核的恒定比例 Caputo (CPC) 混合分数算子已用于对血液酒精模型进行分数化。胃中液体吸收S ( t ) 和血液中液体吸收B ( t ) 的逻辑解已通过使用拉普拉斯变换技术探索,并以广义G函数G a的形式表示, , (·) 和双变量 Mittage–Leffler 函数。此外,我们还提供了详细的分析,包括数值解释和稳定性分析。
更新日期:2021-01-20
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