{"title":"用差分变换法求解Riccati型q-差分方程","authors":"Ayad R. Khudair, Ahmed Y. Abdulmajeed","doi":"10.29350/qjps.2021.26.4.1318","DOIUrl":null,"url":null,"abstract":"In this paper, we deal on the time scale that its delta derivative of graininess function is a nonzero positive constant. Based on the Taylor formula for this time scale, we investigate the difference transform method (DTM). This method has been applied successfully to solve Riccati type difference equations in quantum calculus. To demonstrate the ability and efficacy of this method, some examples have been provided.","PeriodicalId":7856,"journal":{"name":"Al-Qadisiyah Journal Of Pure Science","volume":"86 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2021-07-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Solving Riccati type q-Difference Equations via Difference Transform Method\",\"authors\":\"Ayad R. Khudair, Ahmed Y. Abdulmajeed\",\"doi\":\"10.29350/qjps.2021.26.4.1318\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we deal on the time scale that its delta derivative of graininess function is a nonzero positive constant. Based on the Taylor formula for this time scale, we investigate the difference transform method (DTM). This method has been applied successfully to solve Riccati type difference equations in quantum calculus. To demonstrate the ability and efficacy of this method, some examples have been provided.\",\"PeriodicalId\":7856,\"journal\":{\"name\":\"Al-Qadisiyah Journal Of Pure Science\",\"volume\":\"86 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2021-07-22\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Al-Qadisiyah Journal Of Pure Science\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.29350/qjps.2021.26.4.1318\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Al-Qadisiyah Journal Of Pure Science","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.29350/qjps.2021.26.4.1318","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Solving Riccati type q-Difference Equations via Difference Transform Method
In this paper, we deal on the time scale that its delta derivative of graininess function is a nonzero positive constant. Based on the Taylor formula for this time scale, we investigate the difference transform method (DTM). This method has been applied successfully to solve Riccati type difference equations in quantum calculus. To demonstrate the ability and efficacy of this method, some examples have been provided.
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