Simulation and Analysis of Fractional Model of Human Liver with Real Data Comparison via Caputo Derivative

IF 1.3 4区 综合性期刊 Q3 MULTIDISCIPLINARY SCIENCES
Lalit Mohan, Amit Prakash
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引用次数: 0

Abstract

In this work, we have examined the fractional model of the human liver based on BSP test. A hybrid numerical technique namely Natural transform homotopy perturbation technique is utilised for solving the given model. This technique is an excellent combination of Natural transform and a semi-analytical technique. The Ulam–Hyers stability of the solutions of the given model is analysed. The existence of a unique solution is established by using fixed-point theorem. Finally, the efficiency of the presented technique is validated by comparing the numerical results with the existing methods and clinical data.

基于Caputo导数的人体肝脏分数模型的仿真与分析
在这项工作中,我们研究了基于BSP测试的人类肝脏的分数模型。利用自然变换同伦摄动技术这一混合数值技术对给定模型进行求解。该技术是自然变换和半分析技术的完美结合。分析了给定模型解的Ulam-Hyers稳定性。利用不动点定理,证明了问题唯一解的存在性。最后,将数值计算结果与现有方法和临床数据进行比较,验证了该方法的有效性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
CiteScore
2.60
自引率
0.00%
发文量
37
审稿时长
>12 weeks
期刊介绍: To promote research in all the branches of Science & Technology; and disseminate the knowledge and advancements in Science & Technology
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