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Ho Vu, Ngo Van Hoa, Nguyen Dinh Phu; The local existence of solutions for random fuzzy integro-differential equations under generalized H-differentiability; Journal of Intelligent and Fuzzy Systems, In press, DOI 10.3233/IFS-130940 (2014) (SCIE).

Authors

Ho Vu1, Ngo Van Hoa1, Nguyen Dinh Phu2

1Division of Applied Mathematics, University of Ton Duc Thang, Vietnam
2Faculty of Mathematics and Computer Science, University of Science, VNU Ho Chi Minh City, Vietnam

Abstract

In this paper, we consider the random fuzzy integro-differential equations (RFIDEs) under generalized H-differentiability. The local existence of solutions for RFIDEs with initial conditions under generalized H-differentiability is studied. Two theorems for local existence of solutions are given and proved. Some examples are given to illustrate these results.

Keywords
Random fuzzy, random fuzzy differential equations, random fuzzy integro-differential equations, generalized Hukuhara derivative