On solutions of linear fractional differential equations with uncertainty
type: Item
instance of: scholarly article
title: On solutions of linear fractional differential equations with uncertainty
zbMATH Open document ID: 1296.34007
DOI: 10.1155/2013/178378
author: M. R. Balooch Shahryari
author: Tofigh Allahviranloo
author: Saeid Abbasbandy
author: S. Salahshour
author: D. Baleanu
published in: Abstract and Applied Analysis
publication date: 2014-06-20T00:00:00Z
review text: Summary: The solutions of linear fuzzy fractional differential equations (FFDEs) under the Caputo differentiability have been investigated. To this end, the fuzzy Laplace transform was used to obtain the solutions of FFDEs. Then, some new results regarding the relation between some types of differentiability have been obtained. Finally, some applicable examples are solved in order to show the ability of the proposed method.
Mathematics Subject Classification ID: 34A07
Mathematics Subject Classification ID: 34A08
zbMATH DE Number: 6306104
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/178378
OpenAlex ID: W2122645226
Wikidata QID: Q58915449
cites work: A Jacobi operational matrix for solving a fuzzy linear fractional differential equation
cites work: Fuzzy Laplace transforms
cites work: Explicit solutions of fractional differential equations with uncertainty
cites work: A new method for solving fuzzy linear differential equations
cites work: A New Approach for Solving First Order Fuzzy Differential Equation
cites work: The Cauchy problem of fuzzy differential equations under generalized differentiability
cites work: Application of fuzzy differential transform method for solving fuzzy Volterra integral equations
cites work: Applications of fuzzy Laplace transforms
cites work: Fractional order differential equations on an unbounded domain
cites work: Q4011667
cites work: Definition of Physically Consistent Damping Laws with Fractional Derivatives
cites work: Analysis of fractional differential equations
cites work: Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
cites work: Q5699297
cites work: Q3408155
cites work: Q4650359
cites work: Basic theory of fractional differential equations
cites work: On the concept of solution for fractional differential equations with uncertainty
cites work: Generalizations of the differentiability of fuzzy-number-valued functions with applications to fuzzy differential equations
cites work: First order linear fuzzy differential equations under generalized differentiability
cites work: Fuzzy transforms: theory and applications
cites work: Existence and uniqueness results for fractional differential equations with uncertainty
cites work: Modified fractional Euler method for solving fuzzy fractional initial value problem
cites work: Fuzzy fractional integral equations under compactness type condition
cites work: A class of linear differential dynamical systems with fuzzy initial condition
cites work: Numerical solutions of fuzzy differential and integral equations
cites work: Numerical solutions of fuzzy differential equations
cites work: Fuzzy random variables
cites work: The improper fuzzy Riemann integral and its numerical integration
cites work: Fuzzy mathematics: approximation theory
cites work: Intelligent mathematics: computational analysis
cites work: Solving fuzzy fractional differential equations by fuzzy Laplace transforms
cites work: On new solutions of fuzzy differential equations
cites work: Variation of constant formula for first order fuzzy differential equations
cites work: Periodic boundary value problems for first-order linear differential equations with uncertainty under generalized differentiability
description: scientific article; zbMATH DE number 6306104