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Hyers-Ulam stability for nonlocal fractional partial integro-differential equation with uncertainty

Authors: 

Hoang Viet Long and Hoang Thi Phuong Thao

Source title: 
Journal of Intelligent & Fuzzy Systems 34(1): 233-244, 2018 (ISI)
Academic year of acceptance: 
2018-2019
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.