Affiliations: [a] Division of Computational Mathematics and Engineering, Institute for Computational Science, Ton Duc Thang University, Ho Chi Minh City, Vietnam | [b] Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Vietnam | [c] Department of Mathematics, Hanoi University of Education, Hanoi, Vietnam
Correspondence:
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Corresponding author. Hoang Viet Long, Division 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. E-mail: hoangvietlong@tdt.edu.vn.
Abstract: In this paper, we study nonlocal problems for fractional partial intergro-differential equations with uncertainty in the framework of partially ordered generalized metric spaces of fuzzy valued functions. Based on generalized contractive-like property over comparable items, which is weaker than the Lipschitz condition, we prove the global existence of mild solutions on the infinite domain J∞ = [0, ∞) × [0, ∞). Moreover, Hyers-Ulam stability of this problem is given with the help of Perov-like fixed point theorem.
