Stability for initial value problems of fuzzy Volterra integro-differential equation with fractional order derivative

The results of this paper is motivated from some recent papers treating the problem of the existence and stability of a solution for Volterra integro-differential equations in fuzzy setting with fractional order derivative (FFVIDEs). By constructing successive approximation method in the space of fu...

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Bibliographic Details
Published in:Journal of intelligent & fuzzy systems 2019-01, Vol.37 (4), p.5669-5688
Main Authors: Vu, Ho, Hoa, Ngo Van, An, Truong Vinh
Format: Article
Language:English
Subjects:
Boundary value problems
Differential equations
Stability
Volterra integral equations
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Summary:The results of this paper is motivated from some recent papers treating the problem of the existence and stability of a solution for Volterra integro-differential equations in fuzzy setting with fractional order derivative (FFVIDEs). By constructing successive approximation method in the space of fuzzy functions, we establish the Ulam-Hyers stability and Ulam-Hyers-Rassias stability for the given problems with two concepts of fuzzy-type fractional derivative.
ISSN:1064-1246
1875-8967
DOI:10.3233/JIFS-190952