Title : ( On Existence and Uniqueness of Solutions to the Fuzzy Dynamic Equations on Time Scales )
Authors: Omid Solaymani Fard , Tayebeh Aliabdoli Bidgoli , Azim Rivaz ,
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Abstract
n this paper, we introduce a new metric on the space of fuzzy continuous functions on time scales by using the exponential function, eγ(t,t0) , where γ>0 is a constant. Then, we provide some conditions to prove an existence and uniqueness theorem for solutions to nonlinear fuzzy dynamic equations. Furthermore, we present three different examples including a practical example to illustrate the main results.
Keywords
, delta Hukuhara–Hilger derivative, fuzzy delta integral, time scales, metric space
@article{paperid:1080125,
author = {Solaymani Fard, Omid and طیبه علی عبدلی بیدگلی and عظیم ریواز},
title = {On Existence and Uniqueness of Solutions to the Fuzzy Dynamic Equations on Time Scales},
journal = {Mathematical and Computational Applications},
year = {2017},
volume = {22},
number = {1},
month = {February},
issn = {1300-686X},
pages = {16--31},
numpages = {15},
keywords = {delta Hukuhara–Hilger derivative; fuzzy delta integral; time scales; metric space},
}
%0 Journal Article
%T On Existence and Uniqueness of Solutions to the Fuzzy Dynamic Equations on Time Scales
%A Solaymani Fard, Omid
%A طیبه علی عبدلی بیدگلی
%A عظیم ریواز
%J Mathematical and Computational Applications
%@ 1300-686X
%D 2017
