{"title":"用Hilfer-Hadamard分数阶导数研究分数阶积分微分方程","authors":"D. Vivek, K. Kanagarajan, E. Elsayed","doi":"10.2478/gm-2019-0007","DOIUrl":null,"url":null,"abstract":"Abstract In this paper, we investigate the existence of solution of integro-differential equations (IDEs) with Hilfer-Hadamard fractional derivative. The main results are obtained by using Schaefer’s fixed point theorem. Some Ulam stability results are presented.","PeriodicalId":32454,"journal":{"name":"General Letters in Mathematics","volume":"3 1","pages":"71 - 84"},"PeriodicalIF":0.0000,"publicationDate":"2019-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"A study of fractional integro-differential equations via Hilfer-Hadamard fractional derivative\",\"authors\":\"D. Vivek, K. Kanagarajan, E. Elsayed\",\"doi\":\"10.2478/gm-2019-0007\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract In this paper, we investigate the existence of solution of integro-differential equations (IDEs) with Hilfer-Hadamard fractional derivative. The main results are obtained by using Schaefer’s fixed point theorem. Some Ulam stability results are presented.\",\"PeriodicalId\":32454,\"journal\":{\"name\":\"General Letters in Mathematics\",\"volume\":\"3 1\",\"pages\":\"71 - 84\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2019-06-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"General Letters in Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.2478/gm-2019-0007\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"General Letters in Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2478/gm-2019-0007","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A study of fractional integro-differential equations via Hilfer-Hadamard fractional derivative
Abstract In this paper, we investigate the existence of solution of integro-differential equations (IDEs) with Hilfer-Hadamard fractional derivative. The main results are obtained by using Schaefer’s fixed point theorem. Some Ulam stability results are presented.
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