The Oscillatory of Linear Conformable Fractional Differential Equations of Kamenev Type

In this paper, the oscillatory of the Kamenev-type linear conformable fractional differential equations in the form of ptyα+1tα+yα+1t+qtyt=0 is studied, where t≥t0 and 0<α≤1. By employing a generalized Riccati transformation technique and integral average method, we obtain some oscillation criter...

Full description

Saved in:
Bibliographic Details
Main Authors: Hui Liu, Run Xu
Format: Article
Language:English
Published: Wiley 2020-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2020/3857592
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1832566150376980480
author Hui Liu
Run Xu
author_facet Hui Liu
Run Xu
author_sort Hui Liu
collection DOAJ
description In this paper, the oscillatory of the Kamenev-type linear conformable fractional differential equations in the form of ptyα+1tα+yα+1t+qtyt=0 is studied, where t≥t0 and 0<α≤1. By employing a generalized Riccati transformation technique and integral average method, we obtain some oscillation criteria for the equation. We also give some examples to illustrate the significance of our results.
format Article
id doaj-art-9d3d2c6d99704589aa31dfe4ff986f4e
institution Kabale University
issn 1026-0226
1607-887X
language English
publishDate 2020-01-01
publisher Wiley
record_format Article
series Discrete Dynamics in Nature and Society
spelling doaj-art-9d3d2c6d99704589aa31dfe4ff986f4e2025-02-03T01:05:00ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2020-01-01202010.1155/2020/38575923857592The Oscillatory of Linear Conformable Fractional Differential Equations of Kamenev TypeHui Liu0Run Xu1School of Mathematical Sciences, Qufu Normal University, Qufu 273165, Shandong, ChinaSchool of Mathematical Sciences, Qufu Normal University, Qufu 273165, Shandong, ChinaIn this paper, the oscillatory of the Kamenev-type linear conformable fractional differential equations in the form of ptyα+1tα+yα+1t+qtyt=0 is studied, where t≥t0 and 0<α≤1. By employing a generalized Riccati transformation technique and integral average method, we obtain some oscillation criteria for the equation. We also give some examples to illustrate the significance of our results.http://dx.doi.org/10.1155/2020/3857592
spellingShingle Hui Liu
Run Xu
The Oscillatory of Linear Conformable Fractional Differential Equations of Kamenev Type
Discrete Dynamics in Nature and Society
title The Oscillatory of Linear Conformable Fractional Differential Equations of Kamenev Type
title_full The Oscillatory of Linear Conformable Fractional Differential Equations of Kamenev Type
title_fullStr The Oscillatory of Linear Conformable Fractional Differential Equations of Kamenev Type
title_full_unstemmed The Oscillatory of Linear Conformable Fractional Differential Equations of Kamenev Type
title_short The Oscillatory of Linear Conformable Fractional Differential Equations of Kamenev Type
title_sort oscillatory of linear conformable fractional differential equations of kamenev type
url http://dx.doi.org/10.1155/2020/3857592
work_keys_str_mv AT huiliu theoscillatoryoflinearconformablefractionaldifferentialequationsofkamenevtype
AT runxu theoscillatoryoflinearconformablefractionaldifferentialequationsofkamenevtype
AT huiliu oscillatoryoflinearconformablefractionaldifferentialequationsofkamenevtype
AT runxu oscillatoryoflinearconformablefractionaldifferentialequationsofkamenevtype