Title : ( On the existence and uniqueness of solutions for fuzzy fractional differential equations )
Authors: Azim Rivaz , Omid Solaymani Fard , Tayebeh Aliabdoli Bidgoli ,
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Abstract
In this paper, we introduce and define a new metric on the space of fuzzy continuous functions in the fractional calculus. Regarding this metric and using the well-known Banach fixed point theorem, we provide some conditions that guarantee the existence and uniqueness of solution to a nonlinear fuzzy fractional differential equation in the proposed metric. Finally, two examples are given to illustrate the results.
Keywords
, Fuzzy Liouville-Caputo\'s derivative, Metric space, Fuzzy fractional differential equation, Mittag-Leffler functions
@article{paperid:1080123,
author = {عظیم ریواز and Solaymani Fard, Omid and طیبه علی عبدلی بیدگلی},
title = {On the existence and uniqueness of solutions for fuzzy fractional differential equations},
journal = {Tbilisi Mathematical Journal},
year = {2017},
volume = {10},
number = {1},
month = {January},
issn = {1512-0139},
pages = {197--205},
numpages = {8},
keywords = {Fuzzy Liouville-Caputo\'s derivative; Metric space; Fuzzy fractional differential equation; Mittag-Leffler functions},
}
%0 Journal Article
%T On the existence and uniqueness of solutions for fuzzy fractional differential equations
%A عظیم ریواز
%A Solaymani Fard, Omid
%A طیبه علی عبدلی بیدگلی
%J Tbilisi Mathematical Journal
%@ 1512-0139
%D 2017
