System of fuzzy fractional differential equations in generalized metric space

Document Type: Original Manuscript

Authors

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

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

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

Abstract

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.


Keywords


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