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Existence, uniqueness and stability of fuzzy fractional differential equations with local Lipschitz and linear growth conditions.

Authors :
Mansouri, SS
Gachpazan, M
Fard, O
Source :
Advances in Difference Equations; 8/16/2017, Vol. 2017 Issue 1, p1-13, 13p
Publication Year :
2017

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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
16871839
Volume :
2017
Issue :
1
Database :
Complementary Index
Journal :
Advances in Difference Equations
Publication Type :
Academic Journal
Accession number :
124655712
Full Text :
https://doi.org/10.1186/s13662-017-1293-0