System of fuzzy fractional differential equations in generalized metric space

نویسندگان

1 Department of Mathematics, Hanoi National University of Education, Hanoi, Vietnam

2 Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Vietnam.

3 Center for Science and Technology Information, Hanoi Metropolitan University, 98 Duong Quang Ham, Quan Hoa, Cau Giay, Ha Noi, Viet Nam

doi
10.22111/ijfs.2019.4546
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 completegeneralized metric spaces in the sense of Perov. The novel feature of our approach is the combination of the convergentmatrix technique with Schauder fixed point principle of vector valued operators in semilinear Banach spaces. Somecomputational examples are represented to demonstrate our theoretical results.