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System of fuzzy fractional differential equations in generalized metric space | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 10، دوره 16، شماره 2، خرداد و تیر 2019، صفحه 107-121 اصل مقاله (236.45 K) | ||
| نوع مقاله: Original Manuscript | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2019.4546 | ||
| نویسندگان | ||
| Long Viet Hoang* 1؛ Nguyen Thi Kim Son2؛ Phuong Hoang Thao3 | ||
| 1Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Vietnam. | ||
| 2Center for Science and Technology Information, Hanoi Metropolitan University, 98 Duong Quang Ham, Quan Hoa, Cau Giay, Ha Noi, Viet Nam | ||
| 3Department of Mathematics, Hanoi National University of Education, Hanoi, Vietnam | ||
| چکیده | ||
| In this paper, we study the existence of integral solutions of fuzzy fractional differential systems with nonlocal conditions under Caputo generalized Hukuhara derivatives. These models are considered in the framework of complete generalized metric spaces in the sense of Perov. The novel feature of our approach is the combination of the convergent matrix technique with Schauder fixed point principle of vector valued operators in semilinear Banach spaces. Some computational examples are represented to demonstrate our theoretical results. | ||
| کلیدواژهها | ||
| Fuzzy fractional differential systems؛ Caputo gH-derivatives؛ vector valued metric؛ generalized metric space | ||
| مراجع | ||
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