New Results on Multiple Solutions for Nth-Order Fuzzy Differential Equations under Generalized Differentiability
We firstly present a generalized concept of higher-order differentiability for fuzzy functions. Then we interpret Nth-order fuzzy differential equations using this concept. We introduce new definitions of solution to fuzzy differential equations. Some examples are provided for which both the new sol...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2009-01-01
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| Series: | Boundary Value Problems |
| Online Access: | http://dx.doi.org/10.1155/2009/395714 |
| _version_ | 1818759241905733632 |
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| author | A. Khastan F. Bahrami K. Ivaz |
| author_facet | A. Khastan F. Bahrami K. Ivaz |
| author_sort | A. Khastan |
| collection | DOAJ |
| description | We firstly present a generalized concept of higher-order differentiability for fuzzy functions. Then we interpret Nth-order fuzzy differential equations using this concept. We introduce new definitions of solution to fuzzy differential equations. Some examples are provided for which both the new solutions and the former ones to the fuzzy initial value problems are presented and compared. We present an example of a linear second-order fuzzy differential equation with initial conditions having four different solutions. |
| first_indexed | 2024-12-18T06:39:36Z |
| format | Article |
| id | doaj.art-3c289dcfd99e482ca56eadd6616c1419 |
| institution | Directory Open Access Journal |
| issn | 1687-2762 1687-2770 |
| language | English |
| last_indexed | 2024-12-18T06:39:36Z |
| publishDate | 2009-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Boundary Value Problems |
| spelling | doaj.art-3c289dcfd99e482ca56eadd6616c14192022-12-21T21:17:40ZengSpringerOpenBoundary Value Problems1687-27621687-27702009-01-01200910.1155/2009/395714New Results on Multiple Solutions for Nth-Order Fuzzy Differential Equations under Generalized DifferentiabilityA. KhastanF. BahramiK. IvazWe firstly present a generalized concept of higher-order differentiability for fuzzy functions. Then we interpret Nth-order fuzzy differential equations using this concept. We introduce new definitions of solution to fuzzy differential equations. Some examples are provided for which both the new solutions and the former ones to the fuzzy initial value problems are presented and compared. We present an example of a linear second-order fuzzy differential equation with initial conditions having four different solutions.http://dx.doi.org/10.1155/2009/395714 |
| spellingShingle | A. Khastan F. Bahrami K. Ivaz New Results on Multiple Solutions for Nth-Order Fuzzy Differential Equations under Generalized Differentiability Boundary Value Problems |
| title | New Results on Multiple Solutions for Nth-Order Fuzzy Differential Equations under Generalized Differentiability |
| title_full | New Results on Multiple Solutions for Nth-Order Fuzzy Differential Equations under Generalized Differentiability |
| title_fullStr | New Results on Multiple Solutions for Nth-Order Fuzzy Differential Equations under Generalized Differentiability |
| title_full_unstemmed | New Results on Multiple Solutions for Nth-Order Fuzzy Differential Equations under Generalized Differentiability |
| title_short | New Results on Multiple Solutions for Nth-Order Fuzzy Differential Equations under Generalized Differentiability |
| title_sort | new results on multiple solutions for nth order fuzzy differential equations under generalized differentiability |
| url | http://dx.doi.org/10.1155/2009/395714 |
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