Surveys in Mathematics and its Applications

ISSN 1842-6298 (electronic), 1843-7265 (print)
 Volume 16 (2021), 31 -- 42

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POSITIVE SOLUTIONS FOR NONLINEAR CAPUTO-HADAMARD FRACTIONAL DIFFERENTIAL EQUATIONS

Salim Hamida, Hamid Boulares and Abdelouaheb Ardjouni

Abstract. In this paper we study the existence and uniqueness of positive solutions for a class of nonlinear Caputo-Hadamard fractional differential equations by using the method of upper and lower solutions and Schauder and Banach fixed point theorems.

2020 Mathematics Subject Classification: 26A33; 34A12; 34G20.
Keywords: Fractional differential equations; positive solutions; upper and lower solutions; existence; uniqueness; fixed point theorems.

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Salim Hamida
Department of Mathematics, Faculty of Sciences, University of Annaba,
P.O. Box 12, Annaba 23000, Algeria.
e-mail: hamida.salim@yahoo.fr

Hamid Boulares
Depatement of Mathematics, Faculty of Sciences, University of Guelma,
P. Box 401, Guelma, 24000, Algeria.
e-mail: boulareshamid@gmail.com

Abdelouaheb Ardjouni
Department of Mathematics and Informatics, University of Souk Ahras,
P.O. Box 1553, Souk Ahras, 41000, Algeria.
e-mail: abd_ardjouni@yahoo.fr

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