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

摘要

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. (C) 2016 Elsevier B.V. All rights reserved.