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Existence of extremal solutions to interval-valued delay fractional differential equations via monotone iterative technique

Authors: 

Ho Vu, Vasile Lupulescub and Ngo Van Hoa*

Source title: 
Journal of Intelligent & Fuzzy Systems, 34: 2177-2195, 2018 (ISI)
Academic year of acceptance: 
2017-2018
Abstract: 

In this paper the interval-valued delay fractional differential equations (IDFDEs) under the Caputo generalized Hukuhara differentiability are introduced. By establishing some necessary comparison results and using the monotone iterative technique combined with the method of upper and lower solutions, we investigate the existence of extremal solutions for interval-valued delay fractional differential equations. Several examples are presented to illustrate the concepts and results.