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Solving interval-valued fractional initial value problems under Caputo gH-fractional differentiability

Authors: 

Ngo Van Hoa, Vasile Lupulescu, Donal O’Regan

Source title: 
Fuzzy Sets and Systems, 309: 1-34, 2017 (ISI)
Academic year of acceptance: 
2017-2018
Abstract: 

In this paper interval-valued fractional differential equations (IFDEs) under Caputo generalized Hukuhara differentiability are introduced. We present existence and uniqueness results for IFDEs with a Krasnoselskii–Krein-type condition. The solution to interval-valued fractional initial value problems under Caputo-type interval-valued fractional derivatives by a modified fractional Euler method (MFEM) and a modified Adams–Bashforth–Moulton method (MABMM) is also presented.