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A lower bound on the separation between two solutions of a scalar Riemann-Liouville fractional differential equation

  • Le Quy Don Technical University
  • Silesian University of Technology
  • University of Silesia in Katowice
  • Vietnamese Academy of Science and Technology

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

In this paper, we establish a lower bound on the separation between two distinct solutions of a scalar Riemann-Liouville fractional differential equation. As a consequence, we show that the Lyapunov exponent of an arbitrary non-trivial solution of a bounded linear scalar Riemann-Liouville fractional differential equation is always non-negative.

Original languageEnglish
Title of host publicationInternational Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2018
EditorsT.E. Simos, T.E. Simos, T.E. Simos, T.E. Simos, Ch. Tsitouras, T.E. Simos
PublisherAmerican Institute of Physics Inc.
ISBN (Electronic)9780735418547
DOIs
Publication statusPublished - 24 Jul 2019
EventInternational Conference on Numerical Analysis and Applied Mathematics 2018, ICNAAM 2018 - Rhodes, Greece
Duration: 13 Sept 201818 Sept 2018

Publication series

NameAIP Conference Proceedings
Volume2116
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

ConferenceInternational Conference on Numerical Analysis and Applied Mathematics 2018, ICNAAM 2018
Country/TerritoryGreece
CityRhodes
Period13/09/1818/09/18

ASJC Scopus subject areas

  • General Physics and Astronomy

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