Solving interval-valued fractional initial value problems under Caputo gH-fractional differentiability
type: Item
instance of: scholarly article
title: Solving interval-valued fractional initial value problems under Caputo gH-fractional differentiability
zbMATH Open document ID: 1368.34010
author: Ngo Van Hoa
author: Vasile Lupulescu
author: Donal O'Regan
published in: Fuzzy Sets and Systems
publication date: 2017-08-09T00:00:00Z
Mathematics Subject Classification ID: 34A08
zbMATH DE Number: 6758958
zbMATH Keywords: interval-valued functions
zbMATH Keywords: interval-valued Riemann-Liouville fractional integral
zbMATH Keywords: interval-valued Caputo fractional derivative
zbMATH Keywords: interval-valued fractional differential equations
zbMATH Keywords: fractional Euler method
zbMATH Keywords: Adams-Bashforth-Moulton method
MaRDI profile type: Publication
full work available at URL: j.fss.2016.09.015
OpenAlex ID: W2528643260
cites work: On the concept of solution for fractional differential equations with uncertainty
cites work: Fuzzy fractional integral equations under compactness type condition
cites work: Analytical and numerical solutions of fuzzy differential equations
cites work: Tau method for the numerical solution of a fuzzy fractional kinetic model and its application to the oil palm frond as a promising source of xylose
cites work: Fuzzy fractional differential equations under generalized fuzzy Caputo derivative
cites work: Explicit solutions of fractional differential equations with uncertainty
cites work: Generalized differentiability of fuzzy-valued functions
cites work: Fractional differential equations with a Krasnoselskii-Krein type condition
cites work: Calculus for interval-valued functions using generalized Hukuhara derivative and applications
cites work: A survey on fuzzy fractional variational problems
cites work: A new approach to fuzzy initial value problem
cites work: Solution of linear differential equations with fuzzy boundary values
cites work: Solution method for a boundary value problem with fuzzy forcing function
cites work: Fuzzy fractional functional integral and differential equations
cites work: Schauder fixed-point theorem in semilinear spaces and its application to fractional differential equations with uncertainty
cites work: Q5699297
cites work: Q5484956
cites work: A Krasnoselskii-Krein-type uniqueness result for fractional differential equations
cites work: Hukuhara differentiability of interval-valued functions and interval differential equations on time scales
cites work: Fractional calculus for interval-valued functions
cites work: Theory of fractional functional differential equations
cites work: Fractional calculus models of complex dynamics in biological tissues
cites work: On the fractional signals and systems
cites work: Interval Cauchy problem with a second type Hukuhara derivative
cites work: Interval differential equations with a second type Hukuhara derivative
cites work: Random fuzzy fractional integral equations -- theoretical foundations
cites work: Calculus for interval functions of a real variable
cites work: Modified fractional Euler method for solving fuzzy fractional initial value problem
cites work: Type-2 fuzzy fractional derivatives
cites work: Fractional calculus in viscoelasticity: an experimental study
cites work: Generalized Taylor's formula
cites work: Approximations of fractional integrals and Caputo fractional derivatives
cites work: Q4381477
cites work: Fuzzy fractional initial value problem
cites work: Global solutions for nonlinear fuzzy fractional integral and integro-differential equations
cites work: Existence and uniqueness results for fractional differential equations with uncertainty
cites work: Solving fuzzy fractional differential equations by fuzzy Laplace transforms
cites work: Q3141895
cites work: Generalized Hukuhara differentiability of interval-valued functions and interval differential equations
cites work: A generalization of Hukuhara difference and division for interval and fuzzy arithmetic
cites work: Properties of interval-valued function space under the gH-difference and their application to semi-linear interval differential equations
DOI: 10.1016/J.FSS.2016.09.015
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description: scientific article; zbMATH DE number 6758958