A survey on the initial value problems of fuzzy implicit fractional differential equations
type: Item
instance of: scholarly article
title: A survey on the initial value problems of fuzzy implicit fractional differential equations
zbMATH Open document ID: 1464.34014
author: Ngo Van Hoa
author: Vu Ho
published in: Fuzzy Sets and Systems
publication date: 2021-06-24T00:00:00Z
Mathematics Subject Classification ID: 34A07
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 34A12
zbMATH DE Number: 7362971
zbMATH Keywords: fractional fuzzy differential equations
zbMATH Keywords: implicit fuzzy differential equations
zbMATH Keywords: Caputo-fuzzy-type derivative
zbMATH Keywords: Riemann-Liouville-fuzzy-type derivative
zbMATH Keywords: Hadamard-fuzzy-type derivative
MaRDI profile type: Publication
full work available at URL: j.fss.2019.10.012
OpenAlex ID: W2986329171
Wikidata QID: Q115353603
cites work: Implicit Fractional Differential and Integral Equations
cites work: On the concept of solution for fractional differential equations with uncertainty
cites work: Fuzzy fractional differential equations under generalized fuzzy Caputo derivative
cites work: Explicit solutions of fractional differential equations with uncertainty
cites work: Solving fuzzy fractional differential equations by fuzzy Laplace transforms
cites work: Q2995040
cites work: A Jacobi operational matrix for solving a fuzzy linear fractional differential equation
cites work: The fuzzy generalized Taylor’s expansion with application in fractional differential equations
cites work: Analytical and numerical solutions of fuzzy differential equations
cites work: First order linear fuzzy differential equations under generalized differentiability
cites work: Generalizations of the differentiability of fuzzy-number-valued functions with applications to fuzzy differential equations
cites work: Generalized differentiability of fuzzy-valued functions
cites work: Q5497334
cites work: Q5737905
cites work: On stability for nonlinear implicit fractional differential equations
cites work: Analysis of fractional differential equations
cites work: The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
cites work: Applications of fractional calculus in solving Abel-type integral equations: surface-volume reaction problem
cites work: A survey on fuzzy fractional variational problems
cites work: A note on the generalized difference and the generalized differentiability
cites work: Fuzzy fractional functional integral and differential equations
cites work: Fuzzy fractional functional differential equations under Caputo gH-differentiability
cites work: Solving interval-valued fractional initial value problems under Caputo gH-fractional differentiability
cites work: A note on initial value problems for fractional fuzzy differential equations
cites work: Q5699297
cites work: Fuzzy delay differential equations under generalized differentiability
cites work: On the solutions to first order linear fuzzy differential equations
cites work: Schauder fixed-point theorem in semilinear spaces and its application to fractional differential equations with uncertainty
cites work: Theory of nonlinear implicit fractional differential equations
cites work: Q4976123
cites work: Ulam stability for fractional partial integro-differential equation with uncertainty
cites work: The solvability of fuzzy fractional partial differential equations under Caputo gH-differentiability
cites work: An extension of Krasnoselskii's fixed point theorem and its application to nonlocal problems for implicit fractional differential systems with uncertainty
cites work: Fractional calculus for interval-valued functions
cites work: Random fuzzy fractional integral equations -- theoretical foundations
cites work: Modified fractional Euler method for solving fuzzy fractional initial value problem
cites work: Type-2 fuzzy fractional derivatives
cites work: Implicit fractional differential equations via the Liouville-Caputo derivative
cites work: Q4233638
cites work: Existence and uniqueness results for fractional differential equations with uncertainty
cites work: Generalized Hukuhara differentiability of interval-valued functions and interval differential equations
cites work: Global existence and uniqueness for implicit differential equation of arbitrary order
cites work: A generalized Gronwall inequality and its application to a fractional differential equation
DOI: 10.1016/J.FSS.2019.10.012
description: scientific article; zbMATH DE number 7362971