{"title":"求解线性分数阶Volterra积分-微分方程组的广义样条法","authors":"Nabaa N. Hasan, Doaa A. Hussien","doi":"10.30526/31.1.1842","DOIUrl":null,"url":null,"abstract":"In this paper generalized spline method is used for solving linear system of fractional integro-differential equation approximately. The suggested method reduces the system to system of linear algebraic equations. Different orders of fractional derivative for test example is given in this paper to show the accuracy and applicability of the presented method.","PeriodicalId":13236,"journal":{"name":"Ibn Al-Haitham Journal For Pure And Applied Science","volume":"194 3 1","pages":"222-230"},"PeriodicalIF":0.0000,"publicationDate":"2018-05-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"Generalized Spline Approach For Solving System of Linear Fractional Volterra Integro-Differential Equations\",\"authors\":\"Nabaa N. Hasan, Doaa A. Hussien\",\"doi\":\"10.30526/31.1.1842\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper generalized spline method is used for solving linear system of fractional integro-differential equation approximately. The suggested method reduces the system to system of linear algebraic equations. Different orders of fractional derivative for test example is given in this paper to show the accuracy and applicability of the presented method.\",\"PeriodicalId\":13236,\"journal\":{\"name\":\"Ibn Al-Haitham Journal For Pure And Applied Science\",\"volume\":\"194 3 1\",\"pages\":\"222-230\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2018-05-14\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Ibn Al-Haitham Journal For Pure And Applied Science\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.30526/31.1.1842\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Ibn Al-Haitham Journal For Pure And Applied Science","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.30526/31.1.1842","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Generalized Spline Approach For Solving System of Linear Fractional Volterra Integro-Differential Equations
In this paper generalized spline method is used for solving linear system of fractional integro-differential equation approximately. The suggested method reduces the system to system of linear algebraic equations. Different orders of fractional derivative for test example is given in this paper to show the accuracy and applicability of the presented method.
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