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...
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Wiley
2020-01-01
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Series: | Discrete Dynamics in Nature and Society |
Online Access: | http://dx.doi.org/10.1155/2020/3857592 |
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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 |
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