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FUZZY FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS IN PARTIALLY ORDERED METRIC SPACES | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 7، دوره 14، شماره 2، تیر 2017، صفحه 107-126 اصل مقاله (431.81 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2017.3136 | ||
| نویسندگان | ||
| Hoang Viet Long* 1؛ Nguyen Thi Kim Son2؛ Ngo Van Hoa3 | ||
| 1Division of Computational Mathematics and Engineering, Insti- tute for Computational Science, Ton Duc Thang University, Ho Chi Minh City, Vietnam; Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Vietnam | ||
| 2Department of Mathematics, Hanoi University of Education, Vietnam | ||
| 3Division of Computational Mathematics and Engineering, Institute for Computational Science, Ton Duc Thang University, Ho Chi Minh City, Vietnam; Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Vietnam | ||
| چکیده | ||
| In this paper, we consider fuzzy fractional partial differential equations under Caputo generalized Hukuhara differentiability. Some new results on the existence and uniqueness of two types of fuzzy solutions are studied via weakly contractive mapping in the partially ordered metric space. Some application examples are presented to illustrate our main results. | ||
| کلیدواژه‌ها | ||
| Fractional PDEs؛ Caputo gH-derivatives؛ Fuzzy weak solutions؛ Weakly contractive mapping؛ Partially ordered space | ||
| مراجع | ||
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