On the oscillation of fractional order nonlinear differential equations

Year 2017, Volume: 21 Issue: 6, 1512 - 1523, 01.12.2017

Mustafa Bayram , Aydın Seçer , Hakan Adıgüzel

https://doi.org/10.16984/saufenbilder.282553

Abstract

In the article, we are concerned with the oscillatory solutions
of a class of fractional differential equations. By using generalized Riccati
function and Hardy inequalities, we present some oscillation criterias. As a
result we give some examples that validity of the established results.

Keywords

Oscillation, Oscillation Criterias, Fractional Derivative, Generalized Riccati Function

Kesirli mertebeden doğrusal olmayan diferensiyel denklemlerin salınımlılığı üzerine

Abstract

Bu makalede, kesirli mertebeden diferensiyel denklemlerin bir
sınıfının salınımlı çözümleriyle ilgilenildi. Genelleştirilmiş Riccati
fonksiyonu ve Hardy eşitsizlikleri kullanılarak, baz salınımlılık kriterleri
sunuldu. Sonuç olarak, kurulan sonuçları sağlayan bazı örnekler verildi.

Keywords

Salınımlılık, Salınımlılık Kriterleri, Kesirli Türev, Genelleştirilmiş Riccati Fonksiyonu

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