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On Existence and Asymptotic Behavior of Positive Solutions for a Fractional Order Differential System Involving Riemann-Liouville Derivatives
Journal article   Peer reviewed

On Existence and Asymptotic Behavior of Positive Solutions for a Fractional Order Differential System Involving Riemann-Liouville Derivatives

Sameh Turki
Differential equations and dynamical systems
18/03/2023
DOI: https://doi.org/10.1007/s12591-023-00634-1

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this article, we investigate the existence and the asymptotic behavior of positive solutions of a boundary value problem defined by a system of coupled fractional differential equations involving Riemann-Liouville derivatives. The existence result is given by means of fixed point theory and the asymptotic behavior of such a solution is derived with the aid of Karamata regular variation theory.

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