| Title | PERSPECTIVES OF FUZZY INITIAL VALUE PROBLEMS |
| Publication Type | Journal Article |
| Year of Publication | 2007 |
| Authors | BEDE, BARNABAS, T. BHASKAR, GNANA, LAKSHMIKANTHAM, V |
| Secondary Title | Communications in Applied Analysis |
| Volume | 11 |
| Issue | 3 |
| Start Page | 339 |
| Pagination | 358 |
| Date Published | 08/2007 |
| Type of Work | scientific: mathematics |
| ISSN | 1083–2564 |
| AMS | fuzzy differential equations, modeling under uncertainty |
| Abstract | Recently it is proposed that the behavior of the solutions of fuzzy differential equations (FDEs) could be tamed by a suitable forcing term. In this context a case has been made that FDEs need to be investigated as a separate discipline instead of treating them as fuzzy analogues of crisp counterparts. Here in this paper, we support this argument also by showing how different formulations of a fuzzy differential equation can lead to solutions with different behaviors, adding richness to the theory of FDEs. For this aim we use the notions of Hukuhara differential, generalized differentiability, differential inclusions and the interpretation of FDEs by using Zadeh’s extension principle on the classical solution. We also point out several possible research directions in the study of FDEs.
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| URL | http://www.acadsol.eu/en/articles/11/3/1.pdf |
| Short Title | FUZZY INITIAL VALUE PROBLEMS |
| Refereed Designation | Refereed |
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