A Proposed Analytical Method for Solving Fuzzy Linear Initial Value Problems
In this article, we aim to define a universal set consisting of the subscripts of the fuzzy differential equation (5) except the two elements and , subsets of that universal set are defined according to certain conditions. Then, we use the constructed universal set with its subsets for suggesting a...
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| Format: | Article |
| Language: | Arabic |
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College of Science for Women, University of Baghdad
2020-09-01
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| Series: | Baghdad Science Journal |
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| Online Access: | http://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/4158 |
| _version_ | 1818531341494386688 |
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| author | Amal khalaf Haydar |
| author_facet | Amal khalaf Haydar |
| author_sort | Amal khalaf Haydar |
| collection | DOAJ |
| description | In this article, we aim to define a universal set consisting of the subscripts of the fuzzy differential equation (5) except the two elements and , subsets of that universal set are defined according to certain conditions. Then, we use the constructed universal set with its subsets for suggesting an analytical method which facilitates solving fuzzy initial value problems of any order by using the strongly generalized H-differentiability. Also, valid sets with graphs for solutions of fuzzy initial value problems of higher orders are found. |
| first_indexed | 2024-12-11T17:31:12Z |
| format | Article |
| id | doaj.art-26d92a6d48164cb5bbb364b9eff16cf8 |
| institution | Directory Open Access Journal |
| issn | 2078-8665 2411-7986 |
| language | Arabic |
| last_indexed | 2024-12-11T17:31:12Z |
| publishDate | 2020-09-01 |
| publisher | College of Science for Women, University of Baghdad |
| record_format | Article |
| series | Baghdad Science Journal |
| spelling | doaj.art-26d92a6d48164cb5bbb364b9eff16cf82022-12-22T00:56:49ZaraCollege of Science for Women, University of BaghdadBaghdad Science Journal2078-86652411-79862020-09-01173(Suppl.)10.21123/bsj.2020.17.3(Suppl.).1091A Proposed Analytical Method for Solving Fuzzy Linear Initial Value ProblemsAmal khalaf Haydar0university of kufaIn this article, we aim to define a universal set consisting of the subscripts of the fuzzy differential equation (5) except the two elements and , subsets of that universal set are defined according to certain conditions. Then, we use the constructed universal set with its subsets for suggesting an analytical method which facilitates solving fuzzy initial value problems of any order by using the strongly generalized H-differentiability. Also, valid sets with graphs for solutions of fuzzy initial value problems of higher orders are found.http://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/4158Fuzzy differential equations, Fuzzy Laplace transform, Fuzzy numbers, Generalized H-differentiability. |
| spellingShingle | Amal khalaf Haydar A Proposed Analytical Method for Solving Fuzzy Linear Initial Value Problems Baghdad Science Journal Fuzzy differential equations, Fuzzy Laplace transform, Fuzzy numbers, Generalized H-differentiability. |
| title | A Proposed Analytical Method for Solving Fuzzy Linear Initial Value Problems |
| title_full | A Proposed Analytical Method for Solving Fuzzy Linear Initial Value Problems |
| title_fullStr | A Proposed Analytical Method for Solving Fuzzy Linear Initial Value Problems |
| title_full_unstemmed | A Proposed Analytical Method for Solving Fuzzy Linear Initial Value Problems |
| title_short | A Proposed Analytical Method for Solving Fuzzy Linear Initial Value Problems |
| title_sort | proposed analytical method for solving fuzzy linear initial value problems |
| topic | Fuzzy differential equations, Fuzzy Laplace transform, Fuzzy numbers, Generalized H-differentiability. |
| url | http://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/4158 |
| work_keys_str_mv | AT amalkhalafhaydar aproposedanalyticalmethodforsolvingfuzzylinearinitialvalueproblems AT amalkhalafhaydar proposedanalyticalmethodforsolvingfuzzylinearinitialvalueproblems |