{"title":"用于求解分数阶肿瘤生长模型的泰勒小波准线性化方法","authors":"Pooja Yadav , Shah Jahan , Mohammad Izadi","doi":"10.1016/j.rico.2024.100437","DOIUrl":null,"url":null,"abstract":"<div><p>This study introduces an innovative approach combining Taylor wavelet with quasilinearization, aiming to enhance the fractional-order tumor growth model. To explore the prediction of tumor growth, the fractional order Taylor wavelet (FOTW) technique is employed. Block pulse functions (BPFs) are used for constructing a fractional order operational matrix of integration. Next, the quasilinearization method is employed to transform the given equations into a linear algebraic system of equations. To show the performance of the FOTW based approach, the numerical results are obtained and discussed geometrically. The outcomes show that fractional models work more effectively, and can be further explored.</p></div>","PeriodicalId":34733,"journal":{"name":"Results in Control and Optimization","volume":"15 ","pages":"Article 100437"},"PeriodicalIF":0.0000,"publicationDate":"2024-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S2666720724000675/pdfft?md5=e7cb7c367b1394c46810d2d0a402e696&pid=1-s2.0-S2666720724000675-main.pdf","citationCount":"0","resultStr":"{\"title\":\"Taylor wavelet quasilinearization method for solving tumor growth model of fractional order\",\"authors\":\"Pooja Yadav , Shah Jahan , Mohammad Izadi\",\"doi\":\"10.1016/j.rico.2024.100437\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>This study introduces an innovative approach combining Taylor wavelet with quasilinearization, aiming to enhance the fractional-order tumor growth model. To explore the prediction of tumor growth, the fractional order Taylor wavelet (FOTW) technique is employed. Block pulse functions (BPFs) are used for constructing a fractional order operational matrix of integration. Next, the quasilinearization method is employed to transform the given equations into a linear algebraic system of equations. To show the performance of the FOTW based approach, the numerical results are obtained and discussed geometrically. The outcomes show that fractional models work more effectively, and can be further explored.</p></div>\",\"PeriodicalId\":34733,\"journal\":{\"name\":\"Results in Control and Optimization\",\"volume\":\"15 \",\"pages\":\"Article 100437\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-06-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://www.sciencedirect.com/science/article/pii/S2666720724000675/pdfft?md5=e7cb7c367b1394c46810d2d0a402e696&pid=1-s2.0-S2666720724000675-main.pdf\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Results in Control and Optimization\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S2666720724000675\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Results in Control and Optimization","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S2666720724000675","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Mathematics","Score":null,"Total":0}
Taylor wavelet quasilinearization method for solving tumor growth model of fractional order
This study introduces an innovative approach combining Taylor wavelet with quasilinearization, aiming to enhance the fractional-order tumor growth model. To explore the prediction of tumor growth, the fractional order Taylor wavelet (FOTW) technique is employed. Block pulse functions (BPFs) are used for constructing a fractional order operational matrix of integration. Next, the quasilinearization method is employed to transform the given equations into a linear algebraic system of equations. To show the performance of the FOTW based approach, the numerical results are obtained and discussed geometrically. The outcomes show that fractional models work more effectively, and can be further explored.