{"title":"Simulation and Analysis of Fractional Model of Human Liver with Real Data Comparison via Caputo Derivative","authors":"Lalit Mohan, Amit Prakash","doi":"10.1007/s40010-025-00969-0","DOIUrl":null,"url":null,"abstract":"<div><p>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.</p></div>","PeriodicalId":744,"journal":{"name":"Proceedings of the National Academy of Sciences, India Section A: Physical Sciences","volume":"96 2","pages":"203 - 212"},"PeriodicalIF":1.3000,"publicationDate":"2026-01-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the National Academy of Sciences, India Section A: Physical Sciences","FirstCategoryId":"103","ListUrlMain":"https://link.springer.com/article/10.1007/s40010-025-00969-0","RegionNum":4,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MULTIDISCIPLINARY SCIENCES","Score":null,"Total":0}
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.