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Oscillatory and asymptotic properties of fractional delay differential equations

Result description

This article discusses the oscillatory and asymptotic properties of a test delay differential system involving a non-integer derivative order. We formulate corresponding criteria via explicit necessary and sufficient conditions that enable direct comparisons with the results known for classical integer-order delay differential equations. In particular, we shall observe that oscillatory behaviour of solutions of delay system with non-integer derivatives embodies quite different features compared to the classical results known from the integer-order case.

Keywords

Fractional delay differential equationoscillationasymptotic behaviour

The result's identifiers

Alternative languages

  • Result language

    angličtina

  • Original language name

    Oscillatory and asymptotic properties of fractional delay differential equations

  • Original language description

    This article discusses the oscillatory and asymptotic properties of a test delay differential system involving a non-integer derivative order. We formulate corresponding criteria via explicit necessary and sufficient conditions that enable direct comparisons with the results known for classical integer-order delay differential equations. In particular, we shall observe that oscillatory behaviour of solutions of delay system with non-integer derivatives embodies quite different features compared to the classical results known from the integer-order case.

  • Czech name

  • Czech description

Classification

  • Type

    Jimp - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10101 - Pure mathematics

Result continuities

Others

  • Publication year

    2019

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Electronic Journal of Differential Equations

  • ISSN

    1072-6691

  • e-ISSN

    1550-6150

  • Volume of the periodical

    2019

  • Issue of the periodical within the volume

    33

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    15

  • Pages from-to

    1-15

  • UT code for WoS article

    000460037200001

  • EID of the result in the Scopus database

    2-s2.0-85063378678

Basic information

Result type

Jimp - Article in a specialist periodical, which is included in the Web of Science database

Jimp

OECD FORD

Pure mathematics

Year of implementation

2019