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

Mohammed Dahan Kassim, Nasser Eddine Tatar

Research output: Contribution to journalArticlepeer-review

10 Scopus citations

Abstract

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

Original languageEnglish
Article number111
Pages (from-to)1-14
Number of pages14
JournalElectronic Journal of Differential Equations
Volume2020
StatePublished - 2020

Bibliographical note

Publisher Copyright:
© 2020 Texas State University.

Keywords

  • Asymptotic behavior
  • Boundedness
  • Caputo fractional derivative
  • Fractional differential equation
  • Riemann-Liouville fractional derivative

ASJC Scopus subject areas

  • Analysis

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