Surveys in Mathematics and its Applications

ISSN 1842-6298 (electronic), 1843-7265 (print)
 Volume 14 (2019), 203 -- 217

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EXISTENCE THEORY AND HYERS-ULAM STABILITY FOR A COUPLE SYSTEM OF FRACTIONAL DIFFERENTIAL EQUATIONS

S. Kouachi and A. Guezane-Lakoud

Abstract. We discuss the existence and uniqueness of solutions for a coupled system of fractional differential equations by the help of some fixed point theorems. Further, we investigate the Hyers-Ulam stability results for the proposed problem. An example is also included to illustrate the established results.

2010 Mathematics Subject Classification: 34A08, 26A33.
Keywords: Coupled system of FDEs, Existence and uniqueness, Hyers-Ulam stability, Fixed point theorem.

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S. Kouachi
Laboratory of Advanced Materials,
Faculty of Sciences, Badji Mokhtar-Annaba University
P.O. Box 12, 23000 Annaba, Algeria.
e-mail: sa.kouachi@yahoo.fr


A. Guezane-Lakoud
Laboratory of Advanced Materials,
Faculty of Sciences, Badji Mokhtar-Annaba University
P.O. Box 12, 23000 Annaba, Algeria.
e-mail: a_guezane@yahoo.fr

http://www.utgjiu.ro/math/sma