Existence and Stability of Difference Equation in Imprecise Environment
In this paper, first order linear homogeneous difference equation is evaluated in fuzzy environment. Difference equations become more notable when it is studied in conjunction with fuzzy theory. Hence, here amelioration of these equations is demonstrated by three different tactics of incorporating f...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2018-12-01
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| Series: | Nonlinear Engineering |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/nleng-2016-0085 |
| _version_ | 1818362628730257408 |
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| author | Mondal Sankar Prasad Khan Najeeb Alam Vishwakarma Dileep Saha Apu Kumar |
| author_facet | Mondal Sankar Prasad Khan Najeeb Alam Vishwakarma Dileep Saha Apu Kumar |
| author_sort | Mondal Sankar Prasad |
| collection | DOAJ |
| description | In this paper, first order linear homogeneous difference equation is evaluated in fuzzy environment. Difference equations become more notable when it is studied in conjunction with fuzzy theory. Hence, here amelioration of these equations is demonstrated by three different tactics of incorporating fuzzy numbers.Subsequently, the existence and stability analysis of the attained solutions of fuzzy difference equations (FDEs) are then discussed under different cases of impreciseness. In addition, considering triangular and generalized triangular fuzzy numbers, numerical experiments are illustrated and efficient solutions are depicted, graphically and in tabular form. |
| first_indexed | 2024-12-13T21:35:36Z |
| format | Article |
| id | doaj.art-b0d934fbdd2c403d97046b2126c8e11b |
| institution | Directory Open Access Journal |
| issn | 2192-8010 2192-8029 |
| language | English |
| last_indexed | 2024-12-13T21:35:36Z |
| publishDate | 2018-12-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Nonlinear Engineering |
| spelling | doaj.art-b0d934fbdd2c403d97046b2126c8e11b2022-12-21T23:30:42ZengDe GruyterNonlinear Engineering2192-80102192-80292018-12-017426327110.1515/nleng-2016-0085Existence and Stability of Difference Equation in Imprecise EnvironmentMondal Sankar Prasad0Khan Najeeb Alam1Vishwakarma Dileep2Saha Apu Kumar3Department of Mathematics, Midnapore College (Autonomous), Midnapore, West Midnapore-721101, West Bengal, IndiaDepartment of Mathematics, University of Karachi, Karachi75270, PakistanDepartment of Mathematics, National Institute of Technology, Agartala, Jirania-799046, Tripura, IndiaDepartment of Mathematics, National Institute of Technology, Agartala, Jirania-799046, Tripura, IndiaIn this paper, first order linear homogeneous difference equation is evaluated in fuzzy environment. Difference equations become more notable when it is studied in conjunction with fuzzy theory. Hence, here amelioration of these equations is demonstrated by three different tactics of incorporating fuzzy numbers.Subsequently, the existence and stability analysis of the attained solutions of fuzzy difference equations (FDEs) are then discussed under different cases of impreciseness. In addition, considering triangular and generalized triangular fuzzy numbers, numerical experiments are illustrated and efficient solutions are depicted, graphically and in tabular form.https://doi.org/10.1515/nleng-2016-0085fuzzy numbergeneralized fuzzy numberfuzzy difference equationfuzzy stability |
| spellingShingle | Mondal Sankar Prasad Khan Najeeb Alam Vishwakarma Dileep Saha Apu Kumar Existence and Stability of Difference Equation in Imprecise Environment Nonlinear Engineering fuzzy number generalized fuzzy number fuzzy difference equation fuzzy stability |
| title | Existence and Stability of Difference Equation in Imprecise Environment |
| title_full | Existence and Stability of Difference Equation in Imprecise Environment |
| title_fullStr | Existence and Stability of Difference Equation in Imprecise Environment |
| title_full_unstemmed | Existence and Stability of Difference Equation in Imprecise Environment |
| title_short | Existence and Stability of Difference Equation in Imprecise Environment |
| title_sort | existence and stability of difference equation in imprecise environment |
| topic | fuzzy number generalized fuzzy number fuzzy difference equation fuzzy stability |
| url | https://doi.org/10.1515/nleng-2016-0085 |
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