Title : ( Existence, uniqueness and stability of fuzzy fractional differential equations with local Lipschitz and linear growth conditions )
Authors: samira siah mansouri , Mortaza Gachpazan , Omid Solaymani Fard ,
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Abstract
Fuzzy fractional differential equations (FFDEs) driven by Liu’s process are a type of fractional differential equations. In this paper, we intend to provide and prove a novel existence and uniqueness theorem for the solutions of FFDEs under local Lipschitz and linear growth conditions. We also investigate the stability of solutions to FFDEs by a theorem. Finally, some examples are provided.
Keywords
, credibility theory, fractional derivative, fractional differential equation, fuzzy differential equations, fuzzy Liu’s process, existence and uniqueness
@article{paperid:1066858,
author = {Siah Mansouri, Samira and Gachpazan, Mortaza and Solaymani Fard, Omid},
title = {Existence, uniqueness and stability of fuzzy fractional differential equations with local Lipschitz and linear growth conditions},
journal = {Advances in Difference Equations},
year = {2017},
volume = {240},
month = {August},
issn = {1687-1847},
pages = {1--13},
numpages = {12},
keywords = {credibility theory; fractional derivative; fractional differential equation; fuzzy differential equations; fuzzy Liu’s process; existence and uniqueness},
}
%0 Journal Article
%T Existence, uniqueness and stability of fuzzy fractional differential equations with local Lipschitz and linear growth conditions
%A Siah Mansouri, Samira
%A Gachpazan, Mortaza
%A Solaymani Fard, Omid
%J Advances in Difference Equations
%@ 1687-1847
%D 2017
