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Existence and Asymptotic Behavior of Positive Solutions for a Coupled System of Semilinear Fractional Differential Equations
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Existence and Asymptotic Behavior of Positive Solutions for a Coupled System of Semilinear Fractional Differential Equations

Hassan Yahya Alfifi, Imen Ben Saad, Sameh Turki and Zagharide Zine El Abidine
Resultate der Mathematik, Vol.71(3-4), pp.705-730
01/06/2017
DOI: https://doi.org/10.1007/s00025-016-0528-9

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this paper, we study a coupled system of semilinear Riemann-Liouville type fractional differential equations. Applying the Schauder fixed point theorem, we prove the existence of positive solutions of the fractional differential system. Furthermore, the asymptotic behavior of the solutions is given by using Karamata regular variation theory.

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