Generalizations of the differentiability of fuzzy-number-valued functions with applications to fuzzy differential equations

By Barnabás Bede, Sorin G. Gal. Fuzzy Sets Syst., 2005

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Ostrowski type inequalities for interval-valued functions using generalized Hukuhara derivative (2012, methodology): “Motivated by [1, 2, 3, 11] and [8, 9, 13, 19] we extend Ostrowski type inequality (1) for gH -differentiable interval-valued functions.”
A generalization of Hukuhara difference and division for interval and fuzzy arithmetic (2010, methodology): “case (i): A1 = [5, 10], A2 = [1, 3], B1 = [3, 6], B2 = [2, 3] for which (A10g B1) = [2, 4], (A20g B2) = [−1, 0] and A0g B = C = [2, 4] × [−1, 0] exists with B + C = A, A + (−1)C B.”
SOLVING FUZZY FRACTIONAL DIFFERENTIAL EQUATIONS BY FUZZY LAPLACE TRANSFORMS (2012, methodology): “We try to produce such definitions and statements similar to the non-fractional one in fuzzy context [12].”
Numerical solutions of fuzzy differential equations using reproducing kernel Hilbert space method (2015, background): “(2013a,b, 2015), Bede and Gal (2004, 2005), Bede et al. (2007), Chalco-Cano and Román-Flores (2008), and Nieto et al. (2009).”
On new solutions of fuzzy differential equations (2008, background): “The principal properties of the H-derivative in the first form (1), some of which still holds for the second form (2) [5], are well known and can by found in [19].”