A. Bhat, H. A. Rizvi, J. Ganie, Faiza A. Sulaiman, D. K. Jain
{"title":"求解 Volterra q 积分方程的微分变换法","authors":"A. Bhat, H. A. Rizvi, J. Ganie, Faiza A. Sulaiman, D. K. Jain","doi":"10.37256/cm.4420232549","DOIUrl":null,"url":null,"abstract":"In this paper, Volterra q-integral equations are solved by using the method of q-differential transformation. Exact solutions of linear and nonlinear q-integral equations have been investigated. To illustrate the method, several problems are discussed for the effectiveness and performance of the proposed method.","PeriodicalId":29767,"journal":{"name":"Contemporary Mathematics","volume":"14 11","pages":""},"PeriodicalIF":0.6000,"publicationDate":"2023-12-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Differential Transform Method for Solving Volterra q-Integral Equations\",\"authors\":\"A. Bhat, H. A. Rizvi, J. Ganie, Faiza A. Sulaiman, D. K. Jain\",\"doi\":\"10.37256/cm.4420232549\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, Volterra q-integral equations are solved by using the method of q-differential transformation. Exact solutions of linear and nonlinear q-integral equations have been investigated. To illustrate the method, several problems are discussed for the effectiveness and performance of the proposed method.\",\"PeriodicalId\":29767,\"journal\":{\"name\":\"Contemporary Mathematics\",\"volume\":\"14 11\",\"pages\":\"\"},\"PeriodicalIF\":0.6000,\"publicationDate\":\"2023-12-12\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Contemporary Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.37256/cm.4420232549\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Contemporary Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.37256/cm.4420232549","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
Differential Transform Method for Solving Volterra q-Integral Equations
In this paper, Volterra q-integral equations are solved by using the method of q-differential transformation. Exact solutions of linear and nonlinear q-integral equations have been investigated. To illustrate the method, several problems are discussed for the effectiveness and performance of the proposed method.