{"title":"解分数阶微分方程组的解析方法","authors":"Nabaa N. Hasan, Z. John","doi":"10.23851/MJS.V32I1.929","DOIUrl":null,"url":null,"abstract":"In this paper, Sumudu transformation (ST) of Caputo fractional derivative formulae are derived for linear fractional differential systems. This formula is applied with Mittage-Leffler function for certain homogenous and nonhomogenous fractional differential systems with nonzero initial conditions. Stability is discussed by means of the system's distinctive equation.","PeriodicalId":7515,"journal":{"name":"Al-Mustansiriyah Journal of Sciences","volume":"2013 1","pages":"14-17"},"PeriodicalIF":0.0000,"publicationDate":"2021-02-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Analytic Approach for Solving System of Fractional Differential Equations\",\"authors\":\"Nabaa N. Hasan, Z. John\",\"doi\":\"10.23851/MJS.V32I1.929\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, Sumudu transformation (ST) of Caputo fractional derivative formulae are derived for linear fractional differential systems. This formula is applied with Mittage-Leffler function for certain homogenous and nonhomogenous fractional differential systems with nonzero initial conditions. Stability is discussed by means of the system's distinctive equation.\",\"PeriodicalId\":7515,\"journal\":{\"name\":\"Al-Mustansiriyah Journal of Sciences\",\"volume\":\"2013 1\",\"pages\":\"14-17\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2021-02-24\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Al-Mustansiriyah Journal of Sciences\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.23851/MJS.V32I1.929\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Al-Mustansiriyah Journal of Sciences","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.23851/MJS.V32I1.929","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Analytic Approach for Solving System of Fractional Differential Equations
In this paper, Sumudu transformation (ST) of Caputo fractional derivative formulae are derived for linear fractional differential systems. This formula is applied with Mittage-Leffler function for certain homogenous and nonhomogenous fractional differential systems with nonzero initial conditions. Stability is discussed by means of the system's distinctive equation.
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