{"title":"一类katugampola型分数阶微分方程耦合系统的初值问题","authors":"Y. Arioua","doi":"10.37622/adsa/14.1.2019.29-47","DOIUrl":null,"url":null,"abstract":"The aim of this work is to study the initial value problem of a coupled system of nonlinear fractional differential equations with Katugampola derivative. Some new existence and uniqueness results of solutions for the given problems are obtained by using the Banach contraction principle, Schauder’s and nonlinear alternative Leray–Schauder fixed point theorems. Several examples are presented to illustrate the usefulness of our main results. AMS Subject Classifications: 34A08, 34A12.","PeriodicalId":36469,"journal":{"name":"Advances in Dynamical Systems and Applications","volume":"124 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2019-06-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Initial Value Problem for a Coupled System of Katugampola-Type Fractional Differential Equations\",\"authors\":\"Y. Arioua\",\"doi\":\"10.37622/adsa/14.1.2019.29-47\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The aim of this work is to study the initial value problem of a coupled system of nonlinear fractional differential equations with Katugampola derivative. Some new existence and uniqueness results of solutions for the given problems are obtained by using the Banach contraction principle, Schauder’s and nonlinear alternative Leray–Schauder fixed point theorems. Several examples are presented to illustrate the usefulness of our main results. AMS Subject Classifications: 34A08, 34A12.\",\"PeriodicalId\":36469,\"journal\":{\"name\":\"Advances in Dynamical Systems and Applications\",\"volume\":\"124 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2019-06-02\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Advances in Dynamical Systems and Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.37622/adsa/14.1.2019.29-47\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Advances in Dynamical Systems and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.37622/adsa/14.1.2019.29-47","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Mathematics","Score":null,"Total":0}
Initial Value Problem for a Coupled System of Katugampola-Type Fractional Differential Equations
The aim of this work is to study the initial value problem of a coupled system of nonlinear fractional differential equations with Katugampola derivative. Some new existence and uniqueness results of solutions for the given problems are obtained by using the Banach contraction principle, Schauder’s and nonlinear alternative Leray–Schauder fixed point theorems. Several examples are presented to illustrate the usefulness of our main results. AMS Subject Classifications: 34A08, 34A12.
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