Surveys in Mathematics and its Applications

ISSN 1842-6298 (electronic), 1843-7265 (print)
 Volume 16 (2021), 95 -- 109

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This work is licensed under a Creative Commons Attribution 4.0 International License.

COUPLED PETTIS HADAMARD FRACTIONAL DIFFERENTIAL SYSTEMS WITH RETARDATION AND ANTICIPATION

Saïd Abbas, Mouffak Benchohra, Gaston M. N'Guérékata and Yong Zhou

Abstract. In this article, we study some existence results concerning the weak solutions for some coupled systems of Hadamard fractional differential equations with the mixed arguments of anticipations and retardation. By utilizing a fixed point theorem of Mönch and the technique of measure of weak noncompactness, we obtain our existence results. Finally, we present an example illustrating the applicability of the imposed conditions.

2020 Mathematics Subject Classification: 34A08; 47H10; 54D30
Keywords: coupled systems; Hadamard fractional differential equations; anticipations; retardation;

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Sa\id Abbas
Department of Mathematics, Tahar Moulay University of Sa\ida,
P.O. Box 138, EN-Nasr, 20000 Sa\ida, Algeria,
e-mail: abbasmsaid@yahoo.fr


Mouffak Benchohra
Laboratory of Mathematics, Djillali Liabes University of Sidi Bel-Abbès
PO Box 89, Sidi Bel Abbès 22000, Algeria,
e-mail: benchohra@yahoo.com


Gaston M. N'Guérékata
Department of Mathematics, Morgan State University
1700 E. Cold Spring Lane, Baltimore M.D. 21252, USA,
e-mail: NGuerekata@morgan.edu


Yong Zhou
Faculty of Mathematics and Computational Science, Xiangtan University
Hunan 411105, P.R. China,
Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Faculty of Science,
King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia
e-mail: yzhou@xtu.edu.cn

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