期刊名称：International Journal of Innovative Research in Science, Engineering and Technology
印刷版ISSN：2347-6710
电子版ISSN：2319-8753
出版年度：2016
卷号：5
期号：1
页码：499
DOI：10.15680/IJIRSET.2016.0501080
出版社：S&S Publications
摘要：Fro m th e time of Lap lace up t o th e present time, dif feren t th eories of integ ral t rans forms have b een p roposed by th e help of integrals wit h different ke rnels and ran ges of in tegration s, ch osen suit ably . These in tegral transforms are linear co ntinu ous operators wit h their in vers es, t ransforming a clas s of function s to another class of fu nctions o r sequen ces. The mo st useful s ignifican ce of integral trans forms lies in th e fact that they transfo rm a clas s of d ifferential equ atio ns in to a clas s of alg ebraic eq uatio ns, so th at s olutio ns o f th ose differential eq uations can be o btain ed easily by algeb raic meth ods and b y us e of results of integ ral t ransforms. The main a im o f th is paper is to give th e ap plication of generalized Fourier-Fin ite Mellin transfor m for s olvin g so me differential eq uatio ns. Also we in trod uced new different ial o perator and it s adjoint operator and s olved the Differen tial equat ions usin g Fourier -Fin ite Mellin tran sfor m.
关键词：Fo urier tran sfor m; Finit e Mellin Tran sfor m; Fourier- Fin ite Mellin tran sfor m; Generalized fu nctio n; ; A djoint Op erat or
