Existence and Continuous Dependence on Initial Data of Solution for Initial Value Problem of Fuzzy Multiterm Fractional Differential Equation

Existence and Continuous Dependence on Initial Data of Solution for Initial Value Problem of Fuzzy Multiterm Fractional Differential Equation

In this paper, the fuzzy multiterm fractional differential equation involving Caputo-type fuzzy fractional derivative of order 0<α<1 is considered. The uniqueness of solution is established by using the contraction mapping principle and the existence of solution is obtained by Schauder fixed p...

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Main Authors: Huichol Choi, Kinam Sin, Sunae Pak, Sungryol So
Format: Article
Language:English
Published: Hindawi Limited 2019-01-01
Series:Advances in Fuzzy Systems
Online Access:http://dx.doi.org/10.1155/2019/6457548
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spelling doaj-3660ea91c91345e1a777318df32b14032020-11-24T23:55:25ZengHindawi LimitedAdvances in Fuzzy Systems1687-71011687-711X2019-01-01201910.1155/2019/64575486457548Existence and Continuous Dependence on Initial Data of Solution for Initial Value Problem of Fuzzy Multiterm Fractional Differential EquationHuichol Choi0Kinam Sin1Sunae Pak2Sungryol So3Faculty of Mathematics, Kim Il Sung University, Pyongyang, Democratic People’s Republic of KoreaFaculty of Mathematics, Kim Il Sung University, Pyongyang, Democratic People’s Republic of KoreaFaculty of Mathematics, Kim Il Sung University, Pyongyang, Democratic People’s Republic of KoreaInstitute of Advanced Science, Kim Il Sung University, Pyongyang, Democratic People’s Republic of KoreaIn this paper, the fuzzy multiterm fractional differential equation involving Caputo-type fuzzy fractional derivative of order 0<α<1 is considered. The uniqueness of solution is established by using the contraction mapping principle and the existence of solution is obtained by Schauder fixed point theorem.http://dx.doi.org/10.1155/2019/6457548
collection DOAJ
language English
format Article
sources DOAJ
author Huichol Choi
Kinam Sin
Sunae Pak
Sungryol So
spellingShingle Huichol Choi
Kinam Sin
Sunae Pak
Sungryol So
Existence and Continuous Dependence on Initial Data of Solution for Initial Value Problem of Fuzzy Multiterm Fractional Differential Equation
Advances in Fuzzy Systems
author_facet Huichol Choi
Kinam Sin
Sunae Pak
Sungryol So
author_sort Huichol Choi
title Existence and Continuous Dependence on Initial Data of Solution for Initial Value Problem of Fuzzy Multiterm Fractional Differential Equation
title_short Existence and Continuous Dependence on Initial Data of Solution for Initial Value Problem of Fuzzy Multiterm Fractional Differential Equation
title_full Existence and Continuous Dependence on Initial Data of Solution for Initial Value Problem of Fuzzy Multiterm Fractional Differential Equation
title_fullStr Existence and Continuous Dependence on Initial Data of Solution for Initial Value Problem of Fuzzy Multiterm Fractional Differential Equation
title_full_unstemmed Existence and Continuous Dependence on Initial Data of Solution for Initial Value Problem of Fuzzy Multiterm Fractional Differential Equation
title_sort existence and continuous dependence on initial data of solution for initial value problem of fuzzy multiterm fractional differential equation
publisher Hindawi Limited
series Advances in Fuzzy Systems
issn 1687-7101
1687-711X
publishDate 2019-01-01
description In this paper, the fuzzy multiterm fractional differential equation involving Caputo-type fuzzy fractional derivative of order 0<α<1 is considered. The uniqueness of solution is established by using the contraction mapping principle and the existence of solution is obtained by Schauder fixed point theorem.
url http://dx.doi.org/10.1155/2019/6457548
work_keys_str_mv AT huicholchoi existenceandcontinuousdependenceoninitialdataofsolutionforinitialvalueproblemoffuzzymultitermfractionaldifferentialequation
AT kinamsin existenceandcontinuousdependenceoninitialdataofsolutionforinitialvalueproblemoffuzzymultitermfractionaldifferentialequation
AT sunaepak existenceandcontinuousdependenceoninitialdataofsolutionforinitialvalueproblemoffuzzymultitermfractionaldifferentialequation
AT sungryolso existenceandcontinuousdependenceoninitialdataofsolutionforinitialvalueproblemoffuzzymultitermfractionaldifferentialequation
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