{"title":"初始条件为非零的分数阶非线性连续Fornasini–Marchesini模型","authors":"D. Idczak, R. Kamocki, M. Majewski","doi":"10.1216/jie.2020.32.19","DOIUrl":null,"url":null,"abstract":"A continuous nonlinear Fornasini–Marchesini system of fractional order with nonzero initial conditions is considered. The existence, uniqueness and continuous dependence of solutions on functional parameters are studied. Some results concerning single and mixed fractional derivatives of functions of two variables are presented.","PeriodicalId":50176,"journal":{"name":"Journal of Integral Equations and Applications","volume":" ","pages":""},"PeriodicalIF":0.9000,"publicationDate":"2020-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"Nonlinear continuous Fornasini–Marchesini model of fractional order with nonzero initial conditions\",\"authors\":\"D. Idczak, R. Kamocki, M. Majewski\",\"doi\":\"10.1216/jie.2020.32.19\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A continuous nonlinear Fornasini–Marchesini system of fractional order with nonzero initial conditions is considered. The existence, uniqueness and continuous dependence of solutions on functional parameters are studied. Some results concerning single and mixed fractional derivatives of functions of two variables are presented.\",\"PeriodicalId\":50176,\"journal\":{\"name\":\"Journal of Integral Equations and Applications\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.9000,\"publicationDate\":\"2020-03-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Integral Equations and Applications\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1216/jie.2020.32.19\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Integral Equations and Applications","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1216/jie.2020.32.19","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
Nonlinear continuous Fornasini–Marchesini model of fractional order with nonzero initial conditions
A continuous nonlinear Fornasini–Marchesini system of fractional order with nonzero initial conditions is considered. The existence, uniqueness and continuous dependence of solutions on functional parameters are studied. Some results concerning single and mixed fractional derivatives of functions of two variables are presented.
期刊介绍：
Journal of Integral Equations and Applications is an international journal devoted to research in the general area of integral equations and their applications.
The Journal of Integral Equations and Applications, founded in 1988, endeavors to publish significant research papers and substantial expository/survey papers in theory, numerical analysis, and applications of various areas of integral equations, and to influence and shape developments in this field.
The Editors aim at maintaining a balanced coverage between theory and applications, between existence theory and constructive approximation, and between topological/operator-theoretic methods and classical methods in all types of integral equations. The journal is expected to be an excellent source of current information in this area for mathematicians, numerical analysts, engineers, physicists, biologists and other users of integral equations in the applied mathematical sciences.
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