Pub Date : 2019-04-05DOI: 10.1002/9781119423461.ch2
Massoud Malek
A function F (u) defined in this way ( t may be either a real or a complex variable) is called an integral transform of f (t) . The function K(t , u) which appears in the integrand is referred to as the kernel of the transform. There are numerous useful integral transforms. Each is specified by the kernel K (t , u) . Some kernels have an associated inverse kernel K −1 (t , u) which (roughly speaking) yields an inverse transform: f (t) = ∫ u2
{"title":"Integral Transforms","authors":"Massoud Malek","doi":"10.1002/9781119423461.ch2","DOIUrl":"https://doi.org/10.1002/9781119423461.ch2","url":null,"abstract":"A function F (u) defined in this way ( t may be either a real or a complex variable) is called an integral transform of f (t) . The function K(t , u) which appears in the integrand is referred to as the kernel of the transform. There are numerous useful integral transforms. Each is specified by the kernel K (t , u) . Some kernels have an associated inverse kernel K −1 (t , u) which (roughly speaking) yields an inverse transform: f (t) = ∫ u2","PeriodicalId":366025,"journal":{"name":"Advanced Numerical and Semi-Analytical Methods for Differential Equations","volume":"30 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-04-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127000055","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2019-04-05DOI: 10.1002/9781119423461.ch20
{"title":"Differential Equations with Fuzzy Uncertainty","authors":"","doi":"10.1002/9781119423461.ch20","DOIUrl":"https://doi.org/10.1002/9781119423461.ch20","url":null,"abstract":"","PeriodicalId":366025,"journal":{"name":"Advanced Numerical and Semi-Analytical Methods for Differential Equations","volume":"31 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-04-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131209975","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2019-04-05DOI: 10.1016/B978-0-12-812973-9.00002-3
S. Nayak, S. Chakraverty
{"title":"Interval Finite Element Method","authors":"S. Nayak, S. Chakraverty","doi":"10.1016/B978-0-12-812973-9.00002-3","DOIUrl":"https://doi.org/10.1016/B978-0-12-812973-9.00002-3","url":null,"abstract":"","PeriodicalId":366025,"journal":{"name":"Advanced Numerical and Semi-Analytical Methods for Differential Equations","volume":"1992 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-04-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128613155","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2019-04-05DOI: 10.1002/9781119423461.index
{"title":"Index","authors":"","doi":"10.1002/9781119423461.index","DOIUrl":"https://doi.org/10.1002/9781119423461.index","url":null,"abstract":"","PeriodicalId":366025,"journal":{"name":"Advanced Numerical and Semi-Analytical Methods for Differential Equations","volume":"99 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-04-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114977116","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2019-04-05DOI: 10.1002/9781119423461.ch18
{"title":"Preliminaries of Fractal Differential Equations","authors":"","doi":"10.1002/9781119423461.ch18","DOIUrl":"https://doi.org/10.1002/9781119423461.ch18","url":null,"abstract":"","PeriodicalId":366025,"journal":{"name":"Advanced Numerical and Semi-Analytical Methods for Differential Equations","volume":"2015 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-04-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121325568","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}