Convergence of solutions of fractional differential equations to\n power-type functions

2020/11/18 by Mohammed D. Kassim, Kassim, Mohammed Dahan, Nasser‐eddine Tatar +1
Mathematics · #26A33 #34A08 #34E10 #Classical Analysis and ODEs (math.CA) #Differential Equations and Boundary Problems #FOS: Mathematics #Fractional Differential Equations Solutions #Nonlinear Differential Equations Analysis

paper · pdf · doi:10.48550/arxiv.2011.09562

openalex publication_date 2020/11/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this article we study the asymptotic behavior of solutions of some\nfractional differential equations. We prove convergence to power type functions\nunder some assumptions on the nonlinearities. Our results extend and generalize\nsome existing well-known results on solutions of ordinary differential\nequations. Appropriate estimations and lemmas such as a fractional version of\nL'Hopital's rule are used.\n

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