Solution for a System of First-Order Linear Fuzzy Boundary Value Problems
In this paper, we consider homogeneous and non-homogeneous system of first order linear fuzzy boundary value problems (SFOLBVPs) under granular differentiability. Using the concept of horizontal membership function, we introduced the notion of first order granular differentiability for n-dimensional...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Etamaths Publishing
2023-01-01
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| Series: | International Journal of Analysis and Applications |
| Online Access: | http://etamaths.com/index.php/ijaa/article/view/2721 |
| _version_ | 1797903310970159104 |
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| author | S. Nagalakshmi G. Suresh Kumar B. Madhavi |
| author_facet | S. Nagalakshmi G. Suresh Kumar B. Madhavi |
| author_sort | S. Nagalakshmi |
| collection | DOAJ |
| description | In this paper, we consider homogeneous and non-homogeneous system of first order linear fuzzy boundary value problems (SFOLBVPs) under granular differentiability. Using the concept of horizontal membership function, we introduced the notion of first order granular differentiability for n-dimensional fuzzy functions. We present granular integral and its properties. Theorems on the existence and uniqueness of solutions for homogeneous and non-homogeneous SFOLFBVPs are proved. We develop an algorithm for solution of non-homogeneous SFOLBVPs under granular differentiability. We provide some examples to illustrate the validity of the proposed algorithm. |
| first_indexed | 2024-04-10T09:30:52Z |
| format | Article |
| id | doaj.art-587c699054d5498d8377b01c47986425 |
| institution | Directory Open Access Journal |
| issn | 2291-8639 |
| language | English |
| last_indexed | 2024-04-10T09:30:52Z |
| publishDate | 2023-01-01 |
| publisher | Etamaths Publishing |
| record_format | Article |
| series | International Journal of Analysis and Applications |
| spelling | doaj.art-587c699054d5498d8377b01c479864252023-02-19T05:16:09ZengEtamaths PublishingInternational Journal of Analysis and Applications2291-86392023-01-01214410.28924/2291-8639-21-2023-42106Solution for a System of First-Order Linear Fuzzy Boundary Value ProblemsS. NagalakshmiG. Suresh KumarB. MadhaviIn this paper, we consider homogeneous and non-homogeneous system of first order linear fuzzy boundary value problems (SFOLBVPs) under granular differentiability. Using the concept of horizontal membership function, we introduced the notion of first order granular differentiability for n-dimensional fuzzy functions. We present granular integral and its properties. Theorems on the existence and uniqueness of solutions for homogeneous and non-homogeneous SFOLFBVPs are proved. We develop an algorithm for solution of non-homogeneous SFOLBVPs under granular differentiability. We provide some examples to illustrate the validity of the proposed algorithm.http://etamaths.com/index.php/ijaa/article/view/2721 |
| spellingShingle | S. Nagalakshmi G. Suresh Kumar B. Madhavi Solution for a System of First-Order Linear Fuzzy Boundary Value Problems International Journal of Analysis and Applications |
| title | Solution for a System of First-Order Linear Fuzzy Boundary Value Problems |
| title_full | Solution for a System of First-Order Linear Fuzzy Boundary Value Problems |
| title_fullStr | Solution for a System of First-Order Linear Fuzzy Boundary Value Problems |
| title_full_unstemmed | Solution for a System of First-Order Linear Fuzzy Boundary Value Problems |
| title_short | Solution for a System of First-Order Linear Fuzzy Boundary Value Problems |
| title_sort | solution for a system of first order linear fuzzy boundary value problems |
| url | http://etamaths.com/index.php/ijaa/article/view/2721 |
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