Hojjat Afshari, Sabileh Kalantari, Erdal Karapinar
Abstract:
 
 In this article, we investigate the existence and uniqueness of a solution
 for the fractional differential equation by introducing some new coupled
 fixed point theorems for the class of mixed monotone operators with 
 perturbations in the context of partially ordered complete metric space.
 Submitted June 25, 2015. Published November 16, 2015.
Math Subject Classifications: 47H10, 54H25.
Key Words: Fixed point; mixed monotone operator;  normal cone; 
           sub-homogeneous operator.
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 Hojjat Afshari  Faculty of Basic Sciences University of Bonab, Iran email: hojat.afshari@yahoo.com  | 
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 Sabileh Kalantari  Faculty of Basic Sciences University of Bonab, Iran email: kalantari.math@gmail.com  | 
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 Erdal Karapinar   Atilim University Department of Mathematics 06836, Incek, Ankara, Turkey email: erdalkarapinar@yahoo.com  | 
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