{"title":"具有状态相关非局部条件的混合分数阶微分方程的温和解","authors":"M. Herzallah, Ashraf H. A. Radwan","doi":"10.1216/jie.2022.34.93","DOIUrl":null,"url":null,"abstract":"This paper is devoted to scrutinizing the existence and uniqueness of mild solutions to a hybrid fractional differential equations subject to state-dependent non-local conditions. Special cases of the considered class and the formulated theorems will be displayed. Some examples will be given to illustrate the main results.","PeriodicalId":50176,"journal":{"name":"Journal of Integral Equations and Applications","volume":" ","pages":""},"PeriodicalIF":0.9000,"publicationDate":"2022-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Mild solution to hybrid fractional differential equations with state-dependent nonlocal conditions\",\"authors\":\"M. Herzallah, Ashraf H. A. Radwan\",\"doi\":\"10.1216/jie.2022.34.93\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper is devoted to scrutinizing the existence and uniqueness of mild solutions to a hybrid fractional differential equations subject to state-dependent non-local conditions. Special cases of the considered class and the formulated theorems will be displayed. Some examples will be given to illustrate the main results.\",\"PeriodicalId\":50176,\"journal\":{\"name\":\"Journal of Integral Equations and Applications\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.9000,\"publicationDate\":\"2022-03-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Integral Equations and Applications\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1216/jie.2022.34.93\",\"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.2022.34.93","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
Mild solution to hybrid fractional differential equations with state-dependent nonlocal conditions
This paper is devoted to scrutinizing the existence and uniqueness of mild solutions to a hybrid fractional differential equations subject to state-dependent non-local conditions. Special cases of the considered class and the formulated theorems will be displayed. Some examples will be given to illustrate the main results.
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.