Roaa H. Hasan, Murtadha A. Kadhim, Amal Mohammed Darweesh
{"title":"Fuzzy partial T-transforms applied to a system of PDE","authors":"Roaa H. Hasan, Murtadha A. Kadhim, Amal Mohammed Darweesh","doi":"10.47974/jim-1609","DOIUrl":null,"url":null,"abstract":"Fuzzy partial integro-differential equations have widespread applications in the natural and applied sciences and engineering. The fuzzy T-transform transform is proposed as a new method for solving fuzzy partial differential equations in this research. Using very broad H-differentiability ideas, a formula for the first and second order fuzzy partial derivative has been derived. After an introduction to fuzzy partial T-transforms, fuzzy partial differential equations are developed. Finally, a working example has been presented to showcase the efficacy of the suggested approach.","PeriodicalId":46278,"journal":{"name":"JOURNAL OF INTERDISCIPLINARY MATHEMATICS","volume":null,"pages":null},"PeriodicalIF":1.1000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"JOURNAL OF INTERDISCIPLINARY MATHEMATICS","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.47974/jim-1609","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
Fuzzy partial integro-differential equations have widespread applications in the natural and applied sciences and engineering. The fuzzy T-transform transform is proposed as a new method for solving fuzzy partial differential equations in this research. Using very broad H-differentiability ideas, a formula for the first and second order fuzzy partial derivative has been derived. After an introduction to fuzzy partial T-transforms, fuzzy partial differential equations are developed. Finally, a working example has been presented to showcase the efficacy of the suggested approach.
期刊介绍:
The Journal of Interdisciplinary Mathematics (JIM) is a world leading journal publishing high quality, rigorously peer-reviewed original research in mathematical applications to different disciplines, and to the methodological and theoretical role of mathematics in underpinning all scientific disciplines. The scope is intentionally broad, but papers must make a novel contribution to the fields covered in order to be considered for publication. Topics include, but are not limited, to the following: • Interface of Mathematics with other Disciplines • Theoretical Role of Mathematics • Methodological Role of Mathematics • Interface of Statistics with other Disciplines • Cognitive Sciences • Applications of Mathematics • Industrial Mathematics • Dynamical Systems • Mathematical Biology • Fuzzy Mathematics The journal considers original research articles, survey articles, and book reviews for publication. Responses to articles and correspondence will also be considered at the Editor-in-Chief’s discretion. Special issue proposals in cutting-edge and timely areas of research in interdisciplinary mathematical research are encouraged – please contact the Editor-in-Chief in the first instance.