{"title":"非线性分数阶偏微分方程的Elzaki变换与分解方法","authors":"D. Ziane","doi":"10.12816/0041837","DOIUrl":null,"url":null,"abstract":"The aim of this paper is to make change to the application of the modified Adomian decomposition method suggested in [11] and we extend to obtaining solutions of nonlinear partial differential equations with time-fractional derivative. The fractional derivative is described in the Caputo sense. Some illustrative examples are given, revealing the effectiveness and convenience of the method.","PeriodicalId":210748,"journal":{"name":"International Journal of Open Problems in Computer Science and Mathematics","volume":"59 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2016-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Elzaki Transform and the Decomposition Method for Nonlinear Fractional Partial Differential Equations\",\"authors\":\"D. Ziane\",\"doi\":\"10.12816/0041837\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The aim of this paper is to make change to the application of the modified Adomian decomposition method suggested in [11] and we extend to obtaining solutions of nonlinear partial differential equations with time-fractional derivative. The fractional derivative is described in the Caputo sense. Some illustrative examples are given, revealing the effectiveness and convenience of the method.\",\"PeriodicalId\":210748,\"journal\":{\"name\":\"International Journal of Open Problems in Computer Science and Mathematics\",\"volume\":\"59 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2016-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Open Problems in Computer Science and Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.12816/0041837\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Open Problems in Computer Science and Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.12816/0041837","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Elzaki Transform and the Decomposition Method for Nonlinear Fractional Partial Differential Equations
The aim of this paper is to make change to the application of the modified Adomian decomposition method suggested in [11] and we extend to obtaining solutions of nonlinear partial differential equations with time-fractional derivative. The fractional derivative is described in the Caputo sense. Some illustrative examples are given, revealing the effectiveness and convenience of the method.