Affiliations: [a] Department of Basic Sciences, University of Transport and Communications, Hanoi, Vietnam | [b] Department of Mathematics, Hanoi University of Education, Hanoi, Vietnam
Correspondence:
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Correspondence to: Hoang Viet Long, Department of Basic Sciences, University of Transport and Communications, Hanoi, Vietnam. Tel.: +84 918700525; E-mail: hvlong@utc.edu.vn.
Abstract: We combine two aspects, fuzzy mathematics and partial functional differential equations to get fuzzy partial hyperbolic functional differential equations in the sense of generalized Hukuhara-differentiability. In this setting, the global existence of four solutions, each one corresponding to a different type of differentiability, is investigated in the whole infinite domain [a, ∞) × [b, ∞).
Keywords: Partial hyperbolic functional differential equations, fuzzy solution, Banach fixed point theorem, contraction operator, the continuity of Zadeh’s extension, generalized Hukuhara derivatives
